-6+7=3(2p-3)-4(10+4p)

Solution for -6+7=3(2p-3)-4(10+4p) equation:

Simplifying
-6 + 7 = 3(2p + -3) + -4(10 + 4p)

Combine like terms: -6 + 7 = 1
1 = 3(2p + -3) + -4(10 + 4p)

Reorder the terms:
1 = 3(-3 + 2p) + -4(10 + 4p)
1 = (-3 * 3 + 2p * 3) + -4(10 + 4p)
1 = (-9 + 6p) + -4(10 + 4p)
1 = -9 + 6p + (10 * -4 + 4p * -4)
1 = -9 + 6p + (-40 + -16p)

Reorder the terms:
1 = -9 + -40 + 6p + -16p

Combine like terms: -9 + -40 = -49
1 = -49 + 6p + -16p

Combine like terms: 6p + -16p = -10p
1 = -49 + -10p

Solving
1 = -49 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
1 + 10p = -49 + -10p + 10p

Combine like terms: -10p + 10p = 0
1 + 10p = -49 + 0
1 + 10p = -49

Add '-1' to each side of the equation.
1 + -1 + 10p = -49 + -1

Combine like terms: 1 + -1 = 0
0 + 10p = -49 + -1
10p = -49 + -1

Combine like terms: -49 + -1 = -50
10p = -50

Divide each side by '10'.
p = -5

Simplifying
p = -5