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Simplifying -7(p + -8) = -8(p + -6) Reorder the terms: -7(-8 + p) = -8(p + -6) (-8 * -7 + p * -7) = -8(p + -6) (56 + -7p) = -8(p + -6) Reorder the terms: 56 + -7p = -8(-6 + p) 56 + -7p = (-6 * -8 + p * -8) 56 + -7p = (48 + -8p) Solving 56 + -7p = 48 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 56 + -7p + 8p = 48 + -8p + 8p Combine like terms: -7p + 8p = 1p 56 + 1p = 48 + -8p + 8p Combine like terms: -8p + 8p = 0 56 + 1p = 48 + 0 56 + 1p = 48 Add '-56' to each side of the equation. 56 + -56 + 1p = 48 + -56 Combine like terms: 56 + -56 = 0 0 + 1p = 48 + -56 1p = 48 + -56 Combine like terms: 48 + -56 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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