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Simplifying -8p + -2(1 + -9p) = 7(p + -8) -8p + (1 * -2 + -9p * -2) = 7(p + -8) -8p + (-2 + 18p) = 7(p + -8) Reorder the terms: -2 + -8p + 18p = 7(p + -8) Combine like terms: -8p + 18p = 10p -2 + 10p = 7(p + -8) Reorder the terms: -2 + 10p = 7(-8 + p) -2 + 10p = (-8 * 7 + p * 7) -2 + 10p = (-56 + 7p) Solving -2 + 10p = -56 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -2 + 10p + -7p = -56 + 7p + -7p Combine like terms: 10p + -7p = 3p -2 + 3p = -56 + 7p + -7p Combine like terms: 7p + -7p = 0 -2 + 3p = -56 + 0 -2 + 3p = -56 Add '2' to each side of the equation. -2 + 2 + 3p = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 3p = -56 + 2 3p = -56 + 2 Combine like terms: -56 + 2 = -54 3p = -54 Divide each side by '3'. p = -18 Simplifying p = -18
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