4(p-3)+6(p+3)=-14

Solution for 4(p-3)+6(p+3)=-14 equation:

Simplifying
4(p + -3) + 6(p + 3) = -14

Reorder the terms:
4(-3 + p) + 6(p + 3) = -14
(-3 * 4 + p * 4) + 6(p + 3) = -14
(-12 + 4p) + 6(p + 3) = -14

Reorder the terms:
-12 + 4p + 6(3 + p) = -14
-12 + 4p + (3 * 6 + p * 6) = -14
-12 + 4p + (18 + 6p) = -14

Reorder the terms:
-12 + 18 + 4p + 6p = -14

Combine like terms: -12 + 18 = 6
6 + 4p + 6p = -14

Combine like terms: 4p + 6p = 10p
6 + 10p = -14

Solving
6 + 10p = -14

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 10p = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 10p = -14 + -6
10p = -14 + -6

Combine like terms: -14 + -6 = -20
10p = -20

Divide each side by '10'.
p = -2

Simplifying
p = -2