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Simplifying -8(p + -4) = -7p + 40 Reorder the terms: -8(-4 + p) = -7p + 40 (-4 * -8 + p * -8) = -7p + 40 (32 + -8p) = -7p + 40 Reorder the terms: 32 + -8p = 40 + -7p Solving 32 + -8p = 40 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 32 + -8p + 7p = 40 + -7p + 7p Combine like terms: -8p + 7p = -1p 32 + -1p = 40 + -7p + 7p Combine like terms: -7p + 7p = 0 32 + -1p = 40 + 0 32 + -1p = 40 Add '-32' to each side of the equation. 32 + -32 + -1p = 40 + -32 Combine like terms: 32 + -32 = 0 0 + -1p = 40 + -32 -1p = 40 + -32 Combine like terms: 40 + -32 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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