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Simplifying 3(6 + -5p) + 8p = -1(6 + 5p) + p (6 * 3 + -5p * 3) + 8p = -1(6 + 5p) + p (18 + -15p) + 8p = -1(6 + 5p) + p Combine like terms: -15p + 8p = -7p 18 + -7p = -1(6 + 5p) + p 18 + -7p = (6 * -1 + 5p * -1) + p 18 + -7p = (-6 + -5p) + p Combine like terms: -5p + p = -4p 18 + -7p = -6 + -4p Solving 18 + -7p = -6 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 18 + -7p + 4p = -6 + -4p + 4p Combine like terms: -7p + 4p = -3p 18 + -3p = -6 + -4p + 4p Combine like terms: -4p + 4p = 0 18 + -3p = -6 + 0 18 + -3p = -6 Add '-18' to each side of the equation. 18 + -18 + -3p = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -3p = -6 + -18 -3p = -6 + -18 Combine like terms: -6 + -18 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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