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Simplifying -4(4p + 5) = -12(3p + -10) Reorder the terms: -4(5 + 4p) = -12(3p + -10) (5 * -4 + 4p * -4) = -12(3p + -10) (-20 + -16p) = -12(3p + -10) Reorder the terms: -20 + -16p = -12(-10 + 3p) -20 + -16p = (-10 * -12 + 3p * -12) -20 + -16p = (120 + -36p) Solving -20 + -16p = 120 + -36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36p' to each side of the equation. -20 + -16p + 36p = 120 + -36p + 36p Combine like terms: -16p + 36p = 20p -20 + 20p = 120 + -36p + 36p Combine like terms: -36p + 36p = 0 -20 + 20p = 120 + 0 -20 + 20p = 120 Add '20' to each side of the equation. -20 + 20 + 20p = 120 + 20 Combine like terms: -20 + 20 = 0 0 + 20p = 120 + 20 20p = 120 + 20 Combine like terms: 120 + 20 = 140 20p = 140 Divide each side by '20'. p = 7 Simplifying p = 7
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