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Simplifying -5(2p + 3) + -17 = 4(5p + 7) Reorder the terms: -5(3 + 2p) + -17 = 4(5p + 7) (3 * -5 + 2p * -5) + -17 = 4(5p + 7) (-15 + -10p) + -17 = 4(5p + 7) Reorder the terms: -15 + -17 + -10p = 4(5p + 7) Combine like terms: -15 + -17 = -32 -32 + -10p = 4(5p + 7) Reorder the terms: -32 + -10p = 4(7 + 5p) -32 + -10p = (7 * 4 + 5p * 4) -32 + -10p = (28 + 20p) Solving -32 + -10p = 28 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -32 + -10p + -20p = 28 + 20p + -20p Combine like terms: -10p + -20p = -30p -32 + -30p = 28 + 20p + -20p Combine like terms: 20p + -20p = 0 -32 + -30p = 28 + 0 -32 + -30p = 28 Add '32' to each side of the equation. -32 + 32 + -30p = 28 + 32 Combine like terms: -32 + 32 = 0 0 + -30p = 28 + 32 -30p = 28 + 32 Combine like terms: 28 + 32 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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