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Simplifying -8p + 8 = 3(-6p + -5) + -5(-3 + 5p) Reorder the terms: 8 + -8p = 3(-6p + -5) + -5(-3 + 5p) Reorder the terms: 8 + -8p = 3(-5 + -6p) + -5(-3 + 5p) 8 + -8p = (-5 * 3 + -6p * 3) + -5(-3 + 5p) 8 + -8p = (-15 + -18p) + -5(-3 + 5p) 8 + -8p = -15 + -18p + (-3 * -5 + 5p * -5) 8 + -8p = -15 + -18p + (15 + -25p) Reorder the terms: 8 + -8p = -15 + 15 + -18p + -25p Combine like terms: -15 + 15 = 0 8 + -8p = 0 + -18p + -25p 8 + -8p = -18p + -25p Combine like terms: -18p + -25p = -43p 8 + -8p = -43p Solving 8 + -8p = -43p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '43p' to each side of the equation. 8 + -8p + 43p = -43p + 43p Combine like terms: -8p + 43p = 35p 8 + 35p = -43p + 43p Combine like terms: -43p + 43p = 0 8 + 35p = 0 Add '-8' to each side of the equation. 8 + -8 + 35p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 35p = 0 + -8 35p = 0 + -8 Combine like terms: 0 + -8 = -8 35p = -8 Divide each side by '35'. p = -0.2285714286 Simplifying p = -0.2285714286
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