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Simplifying -102 = -4(6 + 2p) + -5p -102 = (6 * -4 + 2p * -4) + -5p -102 = (-24 + -8p) + -5p Combine like terms: -8p + -5p = -13p -102 = -24 + -13p Solving -102 = -24 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. -102 + 13p = -24 + -13p + 13p Combine like terms: -13p + 13p = 0 -102 + 13p = -24 + 0 -102 + 13p = -24 Add '102' to each side of the equation. -102 + 102 + 13p = -24 + 102 Combine like terms: -102 + 102 = 0 0 + 13p = -24 + 102 13p = -24 + 102 Combine like terms: -24 + 102 = 78 13p = 78 Divide each side by '13'. p = 6 Simplifying p = 6
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