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Simplifying 10p + -2(3p + -6) = 5(3p + -6) + -8p Reorder the terms: 10p + -2(-6 + 3p) = 5(3p + -6) + -8p 10p + (-6 * -2 + 3p * -2) = 5(3p + -6) + -8p 10p + (12 + -6p) = 5(3p + -6) + -8p Reorder the terms: 12 + 10p + -6p = 5(3p + -6) + -8p Combine like terms: 10p + -6p = 4p 12 + 4p = 5(3p + -6) + -8p Reorder the terms: 12 + 4p = 5(-6 + 3p) + -8p 12 + 4p = (-6 * 5 + 3p * 5) + -8p 12 + 4p = (-30 + 15p) + -8p Combine like terms: 15p + -8p = 7p 12 + 4p = -30 + 7p Solving 12 + 4p = -30 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 12 + 4p + -7p = -30 + 7p + -7p Combine like terms: 4p + -7p = -3p 12 + -3p = -30 + 7p + -7p Combine like terms: 7p + -7p = 0 12 + -3p = -30 + 0 12 + -3p = -30 Add '-12' to each side of the equation. 12 + -12 + -3p = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = -30 + -12 -3p = -30 + -12 Combine like terms: -30 + -12 = -42 -3p = -42 Divide each side by '-3'. p = 14 Simplifying p = 14
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