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Simplifying -10p + -8(p + 7) = -8p + 24 Reorder the terms: -10p + -8(7 + p) = -8p + 24 -10p + (7 * -8 + p * -8) = -8p + 24 -10p + (-56 + -8p) = -8p + 24 Reorder the terms: -56 + -10p + -8p = -8p + 24 Combine like terms: -10p + -8p = -18p -56 + -18p = -8p + 24 Reorder the terms: -56 + -18p = 24 + -8p Solving -56 + -18p = 24 + -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 + -18p + 8p = 24 + -8p + 8p Combine like terms: -18p + 8p = -10p -56 + -10p = 24 + -8p + 8p Combine like terms: -8p + 8p = 0 -56 + -10p = 24 + 0 -56 + -10p = 24 Add '56' to each side of the equation. -56 + 56 + -10p = 24 + 56 Combine like terms: -56 + 56 = 0 0 + -10p = 24 + 56 -10p = 24 + 56 Combine like terms: 24 + 56 = 80 -10p = 80 Divide each side by '-10'. p = -8 Simplifying p = -8
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