First, let's simplify the equation by distributing the 3 to both terms inside the parentheses:
2g + 3(-5) + 3(3g) = 1 - g
This simplifies to:
2g - 15 + 9g = 1 - g
Combine the like terms:
11g - 15 = 1 - g
Next, let's isolate the variable terms by adding g to both sides:
11g + g - 15 = 1 - g + g
This simplifies to:
12g - 15 = 1
Now, let's isolate the g term by adding 15 to both sides:
12g - 15 + 15 = 1 + 15
This simplifies to:
12g = 16
Finally, divide both sides by 12 to solve for g:
g = 16/12
Simplifying the fraction gives:
g = 4/3
Now, let's check our solution by substituting g = 4/3 back into the original equation:
2g + 3(-5 + 3g) = 1 - g
Substituting g = 4/3:
2(4/3) + 3(-5 + 3(4/3)) = 1 - (4/3)
Simplifying each term:
8/3 + 3(-5 + 4) = 1 - 4/3
8/3 + 3(-1) = 1 - 4/3
8/3 - 3 = 1 - 4/3
8/3 - 9/3 = 1 - 4/3
(-1/3) = 3/3 - 4/3
(-1/3) = -1/3
Both sides of the equation are equal, so the solution g = 4/3 is correct.
Solve the equation. Check your solution.
2g + 3(-5 + 3g) =1 - g
1 answer