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Simplifying -10p + -6(2 + -3p) = 5(p + -2) + -17 -10p + (2 * -6 + -3p * -6) = 5(p + -2) + -17 -10p + (-12 + 18p) = 5(p + -2) + -17 Reorder the terms: -12 + -10p + 18p = 5(p + -2) + -17 Combine like terms: -10p + 18p = 8p -12 + 8p = 5(p + -2) + -17 Reorder the terms: -12 + 8p = 5(-2 + p) + -17 -12 + 8p = (-2 * 5 + p * 5) + -17 -12 + 8p = (-10 + 5p) + -17 Reorder the terms: -12 + 8p = -10 + -17 + 5p Combine like terms: -10 + -17 = -27 -12 + 8p = -27 + 5p Solving -12 + 8p = -27 + 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. -12 + 8p + -5p = -27 + 5p + -5p Combine like terms: 8p + -5p = 3p -12 + 3p = -27 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 3p = -27 + 0 -12 + 3p = -27 Add '12' to each side of the equation. -12 + 12 + 3p = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -27 + 12 3p = -27 + 12 Combine like terms: -27 + 12 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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