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Simplifying -4p + -3(3 + -4p) = 4(p + -4) + -5 -4p + (3 * -3 + -4p * -3) = 4(p + -4) + -5 -4p + (-9 + 12p) = 4(p + -4) + -5 Reorder the terms: -9 + -4p + 12p = 4(p + -4) + -5 Combine like terms: -4p + 12p = 8p -9 + 8p = 4(p + -4) + -5 Reorder the terms: -9 + 8p = 4(-4 + p) + -5 -9 + 8p = (-4 * 4 + p * 4) + -5 -9 + 8p = (-16 + 4p) + -5 Reorder the terms: -9 + 8p = -16 + -5 + 4p Combine like terms: -16 + -5 = -21 -9 + 8p = -21 + 4p Solving -9 + 8p = -21 + 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. -9 + 8p + -4p = -21 + 4p + -4p Combine like terms: 8p + -4p = 4p -9 + 4p = -21 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 4p = -21 + 0 -9 + 4p = -21 Add '9' to each side of the equation. -9 + 9 + 4p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = -21 + 9 4p = -21 + 9 Combine like terms: -21 + 9 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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