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Simplifying 10 + -1(8p + 3) = 9(2p + -5) Reorder the terms: 10 + -1(3 + 8p) = 9(2p + -5) 10 + (3 * -1 + 8p * -1) = 9(2p + -5) 10 + (-3 + -8p) = 9(2p + -5) Combine like terms: 10 + -3 = 7 7 + -8p = 9(2p + -5) Reorder the terms: 7 + -8p = 9(-5 + 2p) 7 + -8p = (-5 * 9 + 2p * 9) 7 + -8p = (-45 + 18p) Solving 7 + -8p = -45 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 7 + -8p + -18p = -45 + 18p + -18p Combine like terms: -8p + -18p = -26p 7 + -26p = -45 + 18p + -18p Combine like terms: 18p + -18p = 0 7 + -26p = -45 + 0 7 + -26p = -45 Add '-7' to each side of the equation. 7 + -7 + -26p = -45 + -7 Combine like terms: 7 + -7 = 0 0 + -26p = -45 + -7 -26p = -45 + -7 Combine like terms: -45 + -7 = -52 -26p = -52 Divide each side by '-26'. p = 2 Simplifying p = 2
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