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Simplifying -7p + 40 = 8(-1p + 4) Reorder the terms: 40 + -7p = 8(-1p + 4) Reorder the terms: 40 + -7p = 8(4 + -1p) 40 + -7p = (4 * 8 + -1p * 8) 40 + -7p = (32 + -8p) Solving 40 + -7p = 32 + -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. 40 + -7p + 8p = 32 + -8p + 8p Combine like terms: -7p + 8p = 1p 40 + 1p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 40 + 1p = 32 + 0 40 + 1p = 32 Add '-40' to each side of the equation. 40 + -40 + 1p = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 1p = 32 + -40 1p = 32 + -40 Combine like terms: 32 + -40 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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