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Simplifying -3p + -2(2 + -6p) = 5(p + -5) + -7 -3p + (2 * -2 + -6p * -2) = 5(p + -5) + -7 -3p + (-4 + 12p) = 5(p + -5) + -7 Reorder the terms: -4 + -3p + 12p = 5(p + -5) + -7 Combine like terms: -3p + 12p = 9p -4 + 9p = 5(p + -5) + -7 Reorder the terms: -4 + 9p = 5(-5 + p) + -7 -4 + 9p = (-5 * 5 + p * 5) + -7 -4 + 9p = (-25 + 5p) + -7 Reorder the terms: -4 + 9p = -25 + -7 + 5p Combine like terms: -25 + -7 = -32 -4 + 9p = -32 + 5p Solving -4 + 9p = -32 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -4 + 9p + -5p = -32 + 5p + -5p Combine like terms: 9p + -5p = 4p -4 + 4p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 4p = -32 + 0 -4 + 4p = -32 Add '4' to each side of the equation. -4 + 4 + 4p = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = -32 + 4 4p = -32 + 4 Combine like terms: -32 + 4 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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