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Simplifying -1(p + -7) = -1(4p + 8) Reorder the terms: -1(-7 + p) = -1(4p + 8) (-7 * -1 + p * -1) = -1(4p + 8) (7 + -1p) = -1(4p + 8) Reorder the terms: 7 + -1p = -1(8 + 4p) 7 + -1p = (8 * -1 + 4p * -1) 7 + -1p = (-8 + -4p) Solving 7 + -1p = -8 + -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. 7 + -1p + 4p = -8 + -4p + 4p Combine like terms: -1p + 4p = 3p 7 + 3p = -8 + -4p + 4p Combine like terms: -4p + 4p = 0 7 + 3p = -8 + 0 7 + 3p = -8 Add '-7' to each side of the equation. 7 + -7 + 3p = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = -8 + -7 3p = -8 + -7 Combine like terms: -8 + -7 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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