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Simplifying -8 + -5(2 + -3p) = 5(p + -6) + -12 -8 + (2 * -5 + -3p * -5) = 5(p + -6) + -12 -8 + (-10 + 15p) = 5(p + -6) + -12 Combine like terms: -8 + -10 = -18 -18 + 15p = 5(p + -6) + -12 Reorder the terms: -18 + 15p = 5(-6 + p) + -12 -18 + 15p = (-6 * 5 + p * 5) + -12 -18 + 15p = (-30 + 5p) + -12 Reorder the terms: -18 + 15p = -30 + -12 + 5p Combine like terms: -30 + -12 = -42 -18 + 15p = -42 + 5p Solving -18 + 15p = -42 + 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. -18 + 15p + -5p = -42 + 5p + -5p Combine like terms: 15p + -5p = 10p -18 + 10p = -42 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 10p = -42 + 0 -18 + 10p = -42 Add '18' to each side of the equation. -18 + 18 + 10p = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 10p = -42 + 18 10p = -42 + 18 Combine like terms: -42 + 18 = -24 10p = -24 Divide each side by '10'. p = -2.4 Simplifying p = -2.4
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