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

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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 = 31
1 = 31 + 6p + -16p

Combine like terms: 6p + -16p = -10p
1 = 31 + -10p

Solving
1 = 31 + -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 = 31 + -10p + 10p

Combine like terms: -10p + 10p = 0
1 + 10p = 31 + 0
1 + 10p = 31

Add '-1' to each side of the equation.
1 + -1 + 10p = 31 + -1

Combine like terms: 1 + -1 = 0
0 + 10p = 31 + -1
10p = 31 + -1

Combine like terms: 31 + -1 = 30
10p = 30

Divide each side by '10'.
p = 3

Simplifying
p = 3

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