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Simplifying -8p + -6(3 + -3p) = 5(p + -2) + -8 -8p + (3 * -6 + -3p * -6) = 5(p + -2) + -8 -8p + (-18 + 18p) = 5(p + -2) + -8 Reorder the terms: -18 + -8p + 18p = 5(p + -2) + -8 Combine like terms: -8p + 18p = 10p -18 + 10p = 5(p + -2) + -8 Reorder the terms: -18 + 10p = 5(-2 + p) + -8 -18 + 10p = (-2 * 5 + p * 5) + -8 -18 + 10p = (-10 + 5p) + -8 Reorder the terms: -18 + 10p = -10 + -8 + 5p Combine like terms: -10 + -8 = -18 -18 + 10p = -18 + 5p Add '18' to each side of the equation. -18 + 18 + 10p = -18 + 18 + 5p Combine like terms: -18 + 18 = 0 0 + 10p = -18 + 18 + 5p 10p = -18 + 18 + 5p Combine like terms: -18 + 18 = 0 10p = 0 + 5p 10p = 5p Solving 10p = 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 10p + -5p = 5p + -5p Combine like terms: 10p + -5p = 5p 5p = 5p + -5p Combine like terms: 5p + -5p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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