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Simplifying -4(3 + -1p) = 5(p + 1) (3 * -4 + -1p * -4) = 5(p + 1) (-12 + 4p) = 5(p + 1) Reorder the terms: -12 + 4p = 5(1 + p) -12 + 4p = (1 * 5 + p * 5) -12 + 4p = (5 + 5p) Solving -12 + 4p = 5 + 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. -12 + 4p + -5p = 5 + 5p + -5p Combine like terms: 4p + -5p = -1p -12 + -1p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -1p = 5 + 0 -12 + -1p = 5 Add '12' to each side of the equation. -12 + 12 + -1p = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = 5 + 12 -1p = 5 + 12 Combine like terms: 5 + 12 = 17 -1p = 17 Divide each side by '-1'. p = -17 Simplifying p = -17
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