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Simplifying -5p + p = -12(p + -4) + -10(9 + 3) Combine like terms: -5p + p = -4p -4p = -12(p + -4) + -10(9 + 3) Reorder the terms: -4p = -12(-4 + p) + -10(9 + 3) -4p = (-4 * -12 + p * -12) + -10(9 + 3) -4p = (48 + -12p) + -10(9 + 3) Combine like terms: 9 + 3 = 12 -4p = 48 + -12p + -10(12) Multiply -10 * 12 -4p = 48 + -12p + -120 Reorder the terms: -4p = 48 + -120 + -12p Combine like terms: 48 + -120 = -72 -4p = -72 + -12p Solving -4p = -72 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -4p + 12p = -72 + -12p + 12p Combine like terms: -4p + 12p = 8p 8p = -72 + -12p + 12p Combine like terms: -12p + 12p = 0 8p = -72 + 0 8p = -72 Divide each side by '8'. p = -9 Simplifying p = -9
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