−5+34(8h+12)−10h

To simplify the expression −5+34(8h+12)−10h, we'll first apply the distributive property by multiplying 34 with each term inside the parentheses:

−5 + 34(8h) + 34(12) − 10h

Next, we simplify the multiplication:

−5 + 272h + 408 − 10h

Combining like terms:

272h - 10h - 5 + 408

Now, combine the constant terms:

262h + 403

So, the simplified expression is 262h + 403.

−5+3/4(8h+12)−10h

To simplify the expression −5+3/4(8h+12)−10h, we will first apply the distributive property by multiplying 3/4 with each term inside the parentheses:

−5 + (3/4)(8h) + (3/4)(12) − 10h

Next, we simplify the multiplication:

−5 + (3/4)(8h) + 9 − 10h

Combining like terms:

−5 + (6h/4) + 9 − 10h

Now, we need to simplify the fraction (6h/4). We can simplify this by dividing the numerator and denominator by their greatest common divisor, which is 2:

−5 + (3h/2) + 9 − 10h

Next, we combine the constant terms:

−5 + 9 + (3h/2) − 10h

Simplifying further, we can rewrite the numbers -5 and 9 as fractions with a denominator of 1:

(-5/1) + (9/1) + (3h/2) − 10h

Combining the fractions with a common denominator of 2:

(-5 + 18 + 3h)/2 − 10h

Now, combine the constant terms:

(13 + 3h)/2 − 10h

So, the simplified expression is (13 + 3h)/2 − 10h.