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Simplifying -18 + -6(-8p + -6) = 7(5p + -16) Reorder the terms: -18 + -6(-6 + -8p) = 7(5p + -16) -18 + (-6 * -6 + -8p * -6) = 7(5p + -16) -18 + (36 + 48p) = 7(5p + -16) Combine like terms: -18 + 36 = 18 18 + 48p = 7(5p + -16) Reorder the terms: 18 + 48p = 7(-16 + 5p) 18 + 48p = (-16 * 7 + 5p * 7) 18 + 48p = (-112 + 35p) Solving 18 + 48p = -112 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 18 + 48p + -35p = -112 + 35p + -35p Combine like terms: 48p + -35p = 13p 18 + 13p = -112 + 35p + -35p Combine like terms: 35p + -35p = 0 18 + 13p = -112 + 0 18 + 13p = -112 Add '-18' to each side of the equation. 18 + -18 + 13p = -112 + -18 Combine like terms: 18 + -18 = 0 0 + 13p = -112 + -18 13p = -112 + -18 Combine like terms: -112 + -18 = -130 13p = -130 Divide each side by '13'. p = -10 Simplifying p = -10
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