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Simplifying -4(5p + 4) + -32 = 2(4p + 4) Reorder the terms: -4(4 + 5p) + -32 = 2(4p + 4) (4 * -4 + 5p * -4) + -32 = 2(4p + 4) (-16 + -20p) + -32 = 2(4p + 4) Reorder the terms: -16 + -32 + -20p = 2(4p + 4) Combine like terms: -16 + -32 = -48 -48 + -20p = 2(4p + 4) Reorder the terms: -48 + -20p = 2(4 + 4p) -48 + -20p = (4 * 2 + 4p * 2) -48 + -20p = (8 + 8p) Solving -48 + -20p = 8 + 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. -48 + -20p + -8p = 8 + 8p + -8p Combine like terms: -20p + -8p = -28p -48 + -28p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 -48 + -28p = 8 + 0 -48 + -28p = 8 Add '48' to each side of the equation. -48 + 48 + -28p = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -28p = 8 + 48 -28p = 8 + 48 Combine like terms: 8 + 48 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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