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Simplifying -5p + 3(3p + 6) = 8p + 14 Reorder the terms: -5p + 3(6 + 3p) = 8p + 14 -5p + (6 * 3 + 3p * 3) = 8p + 14 -5p + (18 + 9p) = 8p + 14 Reorder the terms: 18 + -5p + 9p = 8p + 14 Combine like terms: -5p + 9p = 4p 18 + 4p = 8p + 14 Reorder the terms: 18 + 4p = 14 + 8p Solving 18 + 4p = 14 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 18 + 4p + -8p = 14 + 8p + -8p Combine like terms: 4p + -8p = -4p 18 + -4p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 18 + -4p = 14 + 0 18 + -4p = 14 Add '-18' to each side of the equation. 18 + -18 + -4p = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -4p = 14 + -18 -4p = 14 + -18 Combine like terms: 14 + -18 = -4 -4p = -4 Divide each side by '-4'. p = 1 Simplifying p = 1
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