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Simplifying 3(2p + -1) + 5(p + -10) = 8p + 9 Reorder the terms: 3(-1 + 2p) + 5(p + -10) = 8p + 9 (-1 * 3 + 2p * 3) + 5(p + -10) = 8p + 9 (-3 + 6p) + 5(p + -10) = 8p + 9 Reorder the terms: -3 + 6p + 5(-10 + p) = 8p + 9 -3 + 6p + (-10 * 5 + p * 5) = 8p + 9 -3 + 6p + (-50 + 5p) = 8p + 9 Reorder the terms: -3 + -50 + 6p + 5p = 8p + 9 Combine like terms: -3 + -50 = -53 -53 + 6p + 5p = 8p + 9 Combine like terms: 6p + 5p = 11p -53 + 11p = 8p + 9 Reorder the terms: -53 + 11p = 9 + 8p Solving -53 + 11p = 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. -53 + 11p + -8p = 9 + 8p + -8p Combine like terms: 11p + -8p = 3p -53 + 3p = 9 + 8p + -8p Combine like terms: 8p + -8p = 0 -53 + 3p = 9 + 0 -53 + 3p = 9 Add '53' to each side of the equation. -53 + 53 + 3p = 9 + 53 Combine like terms: -53 + 53 = 0 0 + 3p = 9 + 53 3p = 9 + 53 Combine like terms: 9 + 53 = 62 3p = 62 Divide each side by '3'. p = 20.66666667 Simplifying p = 20.66666667
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