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Simplifying -3(p + -5) + 8p = -2 + -6(p + -1) Reorder the terms: -3(-5 + p) + 8p = -2 + -6(p + -1) (-5 * -3 + p * -3) + 8p = -2 + -6(p + -1) (15 + -3p) + 8p = -2 + -6(p + -1) Combine like terms: -3p + 8p = 5p 15 + 5p = -2 + -6(p + -1) Reorder the terms: 15 + 5p = -2 + -6(-1 + p) 15 + 5p = -2 + (-1 * -6 + p * -6) 15 + 5p = -2 + (6 + -6p) Combine like terms: -2 + 6 = 4 15 + 5p = 4 + -6p Solving 15 + 5p = 4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 15 + 5p + 6p = 4 + -6p + 6p Combine like terms: 5p + 6p = 11p 15 + 11p = 4 + -6p + 6p Combine like terms: -6p + 6p = 0 15 + 11p = 4 + 0 15 + 11p = 4 Add '-15' to each side of the equation. 15 + -15 + 11p = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 11p = 4 + -15 11p = 4 + -15 Combine like terms: 4 + -15 = -11 11p = -11 Divide each side by '11'. p = -1 Simplifying p = -1
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