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Simplifying -7(p + -3) = 2(3 + -4p) Reorder the terms: -7(-3 + p) = 2(3 + -4p) (-3 * -7 + p * -7) = 2(3 + -4p) (21 + -7p) = 2(3 + -4p) 21 + -7p = (3 * 2 + -4p * 2) 21 + -7p = (6 + -8p) Solving 21 + -7p = 6 + -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. 21 + -7p + 8p = 6 + -8p + 8p Combine like terms: -7p + 8p = 1p 21 + 1p = 6 + -8p + 8p Combine like terms: -8p + 8p = 0 21 + 1p = 6 + 0 21 + 1p = 6 Add '-21' to each side of the equation. 21 + -21 + 1p = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 1p = 6 + -21 1p = 6 + -21 Combine like terms: 6 + -21 = -15 1p = -15 Divide each side by '1'. p = -15 Simplifying p = -15
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