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Simplifying -8 + 8(-18p + 7) = 8(-17p + -11) Reorder the terms: -8 + 8(7 + -18p) = 8(-17p + -11) -8 + (7 * 8 + -18p * 8) = 8(-17p + -11) -8 + (56 + -144p) = 8(-17p + -11) Combine like terms: -8 + 56 = 48 48 + -144p = 8(-17p + -11) Reorder the terms: 48 + -144p = 8(-11 + -17p) 48 + -144p = (-11 * 8 + -17p * 8) 48 + -144p = (-88 + -136p) Solving 48 + -144p = -88 + -136p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '136p' to each side of the equation. 48 + -144p + 136p = -88 + -136p + 136p Combine like terms: -144p + 136p = -8p 48 + -8p = -88 + -136p + 136p Combine like terms: -136p + 136p = 0 48 + -8p = -88 + 0 48 + -8p = -88 Add '-48' to each side of the equation. 48 + -48 + -8p = -88 + -48 Combine like terms: 48 + -48 = 0 0 + -8p = -88 + -48 -8p = -88 + -48 Combine like terms: -88 + -48 = -136 -8p = -136 Divide each side by '-8'. p = 17 Simplifying p = 17
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