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Simplifying -7p + -3(4 + -5p) = 4(p + -3) + -12 -7p + (4 * -3 + -5p * -3) = 4(p + -3) + -12 -7p + (-12 + 15p) = 4(p + -3) + -12 Reorder the terms: -12 + -7p + 15p = 4(p + -3) + -12 Combine like terms: -7p + 15p = 8p -12 + 8p = 4(p + -3) + -12 Reorder the terms: -12 + 8p = 4(-3 + p) + -12 -12 + 8p = (-3 * 4 + p * 4) + -12 -12 + 8p = (-12 + 4p) + -12 Reorder the terms: -12 + 8p = -12 + -12 + 4p Combine like terms: -12 + -12 = -24 -12 + 8p = -24 + 4p Solving -12 + 8p = -24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 8p + -4p = -24 + 4p + -4p Combine like terms: 8p + -4p = 4p -12 + 4p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 4p = -24 + 0 -12 + 4p = -24 Add '12' to each side of the equation. -12 + 12 + 4p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -24 + 12 4p = -24 + 12 Combine like terms: -24 + 12 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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