p-(4p-2)=2(1-3p)-3

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Solution for p-(4p-2)=2(1-3p)-3 equation:


Simplifying
p + -1(4p + -2) = 2(1 + -3p) + -3

Reorder the terms:
p + -1(-2 + 4p) = 2(1 + -3p) + -3
p + (-2 * -1 + 4p * -1) = 2(1 + -3p) + -3
p + (2 + -4p) = 2(1 + -3p) + -3

Reorder the terms:
2 + p + -4p = 2(1 + -3p) + -3

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

Reorder the terms:
2 + -3p = 2 + -3 + -6p

Combine like terms: 2 + -3 = -1
2 + -3p = -1 + -6p

Solving
2 + -3p = -1 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
2 + -3p + 6p = -1 + -6p + 6p

Combine like terms: -3p + 6p = 3p
2 + 3p = -1 + -6p + 6p

Combine like terms: -6p + 6p = 0
2 + 3p = -1 + 0
2 + 3p = -1

Add '-2' to each side of the equation.
2 + -2 + 3p = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3p = -1 + -2
3p = -1 + -2

Combine like terms: -1 + -2 = -3
3p = -3

Divide each side by '3'.
p = -1

Simplifying
p = -1

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