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Simplifying -5(2p + 4) + -12 = 2(5p + 4) Reorder the terms: -5(4 + 2p) + -12 = 2(5p + 4) (4 * -5 + 2p * -5) + -12 = 2(5p + 4) (-20 + -10p) + -12 = 2(5p + 4) Reorder the terms: -20 + -12 + -10p = 2(5p + 4) Combine like terms: -20 + -12 = -32 -32 + -10p = 2(5p + 4) Reorder the terms: -32 + -10p = 2(4 + 5p) -32 + -10p = (4 * 2 + 5p * 2) -32 + -10p = (8 + 10p) Solving -32 + -10p = 8 + 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. -32 + -10p + -10p = 8 + 10p + -10p Combine like terms: -10p + -10p = -20p -32 + -20p = 8 + 10p + -10p Combine like terms: 10p + -10p = 0 -32 + -20p = 8 + 0 -32 + -20p = 8 Add '32' to each side of the equation. -32 + 32 + -20p = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -20p = 8 + 32 -20p = 8 + 32 Combine like terms: 8 + 32 = 40 -20p = 40 Divide each side by '-20'. p = -2 Simplifying p = -2
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