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Simplifying -6p + 7(1 + 3p) = 2(7 + 8p) -6p + (1 * 7 + 3p * 7) = 2(7 + 8p) -6p + (7 + 21p) = 2(7 + 8p) Reorder the terms: 7 + -6p + 21p = 2(7 + 8p) Combine like terms: -6p + 21p = 15p 7 + 15p = 2(7 + 8p) 7 + 15p = (7 * 2 + 8p * 2) 7 + 15p = (14 + 16p) Solving 7 + 15p = 14 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 7 + 15p + -16p = 14 + 16p + -16p Combine like terms: 15p + -16p = -1p 7 + -1p = 14 + 16p + -16p Combine like terms: 16p + -16p = 0 7 + -1p = 14 + 0 7 + -1p = 14 Add '-7' to each side of the equation. 7 + -7 + -1p = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 14 + -7 -1p = 14 + -7 Combine like terms: 14 + -7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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