6p-3+7=-(1-3p)-4(p-3)

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Solution for 6p-3+7=-(1-3p)-4(p-3) equation:


Simplifying
6p + -3 + 7 = -1(1 + -3p) + -4(p + -3)

Reorder the terms:
-3 + 7 + 6p = -1(1 + -3p) + -4(p + -3)

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

Reorder the terms:
4 + 6p = -1 + 3p + -4(-3 + p)
4 + 6p = -1 + 3p + (-3 * -4 + p * -4)
4 + 6p = -1 + 3p + (12 + -4p)

Reorder the terms:
4 + 6p = -1 + 12 + 3p + -4p

Combine like terms: -1 + 12 = 11
4 + 6p = 11 + 3p + -4p

Combine like terms: 3p + -4p = -1p
4 + 6p = 11 + -1p

Solving
4 + 6p = 11 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
4 + 6p + p = 11 + -1p + p

Combine like terms: 6p + p = 7p
4 + 7p = 11 + -1p + p

Combine like terms: -1p + p = 0
4 + 7p = 11 + 0
4 + 7p = 11

Add '-4' to each side of the equation.
4 + -4 + 7p = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 7p = 11 + -4
7p = 11 + -4

Combine like terms: 11 + -4 = 7
7p = 7

Divide each side by '7'.
p = 1

Simplifying
p = 1

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