Let's solve each equation step by step.
1. Solve the equation \(6m - 2m = 28\):
Combine like terms: \[ 6m - 2m = 4m \] So the equation simplifies to: \[ 4m = 28 \]
Now, divide both sides by 4: \[ m = \frac{28}{4} = 7 \]
Since the result is already an integer, rounding to the nearest tenth gives: \[ m = 7.0 \]
2. Solve the equation \(3(p−5) + 4p = p + 9\):
First, distribute \(3\) in the left term: \[ 3p - 15 + 4p = p + 9 \]
Combine like terms: \[ (3p + 4p) - 15 = p + 9 \implies 7p - 15 = p + 9 \]
Now, isolate \(p\) by moving \(p\) to the left side: \[ 7p - p - 15 = 9 \] This simplifies to: \[ 6p - 15 = 9 \]
Next, add 15 to both sides: \[ 6p = 9 + 15 \] \[ 6p = 24 \]
Now, divide both sides by 6: \[ p = \frac{24}{6} = 4 \]
Again, since the result is an integer, rounding to the nearest tenth gives: \[ p = 4.0 \]
Final Results:
- \(m = 7.0\)
- \(p = 4.0\)