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Simplifying 4(-5p + 12) = -10p + -32 Reorder the terms: 4(12 + -5p) = -10p + -32 (12 * 4 + -5p * 4) = -10p + -32 (48 + -20p) = -10p + -32 Reorder the terms: 48 + -20p = -32 + -10p Solving 48 + -20p = -32 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 48 + -20p + 10p = -32 + -10p + 10p Combine like terms: -20p + 10p = -10p 48 + -10p = -32 + -10p + 10p Combine like terms: -10p + 10p = 0 48 + -10p = -32 + 0 48 + -10p = -32 Add '-48' to each side of the equation. 48 + -48 + -10p = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -10p = -32 + -48 -10p = -32 + -48 Combine like terms: -32 + -48 = -80 -10p = -80 Divide each side by '-10'. p = 8 Simplifying p = 8
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