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Simplifying -4 + 8(p + 4) = 4(4p + -1) Reorder the terms: -4 + 8(4 + p) = 4(4p + -1) -4 + (4 * 8 + p * 8) = 4(4p + -1) -4 + (32 + 8p) = 4(4p + -1) Combine like terms: -4 + 32 = 28 28 + 8p = 4(4p + -1) Reorder the terms: 28 + 8p = 4(-1 + 4p) 28 + 8p = (-1 * 4 + 4p * 4) 28 + 8p = (-4 + 16p) Solving 28 + 8p = -4 + 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. 28 + 8p + -16p = -4 + 16p + -16p Combine like terms: 8p + -16p = -8p 28 + -8p = -4 + 16p + -16p Combine like terms: 16p + -16p = 0 28 + -8p = -4 + 0 28 + -8p = -4 Add '-28' to each side of the equation. 28 + -28 + -8p = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -8p = -4 + -28 -8p = -4 + -28 Combine like terms: -4 + -28 = -32 -8p = -32 Divide each side by '-8'. p = 4 Simplifying p = 4
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