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Simplifying 3(2p + -1) + 2(5p + -10) = 8p + 9 Reorder the terms: 3(-1 + 2p) + 2(5p + -10) = 8p + 9 (-1 * 3 + 2p * 3) + 2(5p + -10) = 8p + 9 (-3 + 6p) + 2(5p + -10) = 8p + 9 Reorder the terms: -3 + 6p + 2(-10 + 5p) = 8p + 9 -3 + 6p + (-10 * 2 + 5p * 2) = 8p + 9 -3 + 6p + (-20 + 10p) = 8p + 9 Reorder the terms: -3 + -20 + 6p + 10p = 8p + 9 Combine like terms: -3 + -20 = -23 -23 + 6p + 10p = 8p + 9 Combine like terms: 6p + 10p = 16p -23 + 16p = 8p + 9 Reorder the terms: -23 + 16p = 9 + 8p Solving -23 + 16p = 9 + 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. -23 + 16p + -8p = 9 + 8p + -8p Combine like terms: 16p + -8p = 8p -23 + 8p = 9 + 8p + -8p Combine like terms: 8p + -8p = 0 -23 + 8p = 9 + 0 -23 + 8p = 9 Add '23' to each side of the equation. -23 + 23 + 8p = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8p = 9 + 23 8p = 9 + 23 Combine like terms: 9 + 23 = 32 8p = 32 Divide each side by '8'. p = 4 Simplifying p = 4
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