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Simplifying -5(2p + 3) + -17 = 2(4p + 2) Reorder the terms: -5(3 + 2p) + -17 = 2(4p + 2) (3 * -5 + 2p * -5) + -17 = 2(4p + 2) (-15 + -10p) + -17 = 2(4p + 2) Reorder the terms: -15 + -17 + -10p = 2(4p + 2) Combine like terms: -15 + -17 = -32 -32 + -10p = 2(4p + 2) Reorder the terms: -32 + -10p = 2(2 + 4p) -32 + -10p = (2 * 2 + 4p * 2) -32 + -10p = (4 + 8p) Solving -32 + -10p = 4 + 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. -32 + -10p + -8p = 4 + 8p + -8p Combine like terms: -10p + -8p = -18p -32 + -18p = 4 + 8p + -8p Combine like terms: 8p + -8p = 0 -32 + -18p = 4 + 0 -32 + -18p = 4 Add '32' to each side of the equation. -32 + 32 + -18p = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -18p = 4 + 32 -18p = 4 + 32 Combine like terms: 4 + 32 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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