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Simplifying 8(p + -1) + -5(2p + 9) = 4.5(2p + -7) Reorder the terms: 8(-1 + p) + -5(2p + 9) = 4.5(2p + -7) (-1 * 8 + p * 8) + -5(2p + 9) = 4.5(2p + -7) (-8 + 8p) + -5(2p + 9) = 4.5(2p + -7) Reorder the terms: -8 + 8p + -5(9 + 2p) = 4.5(2p + -7) -8 + 8p + (9 * -5 + 2p * -5) = 4.5(2p + -7) -8 + 8p + (-45 + -10p) = 4.5(2p + -7) Reorder the terms: -8 + -45 + 8p + -10p = 4.5(2p + -7) Combine like terms: -8 + -45 = -53 -53 + 8p + -10p = 4.5(2p + -7) Combine like terms: 8p + -10p = -2p -53 + -2p = 4.5(2p + -7) Reorder the terms: -53 + -2p = 4.5(-7 + 2p) -53 + -2p = (-7 * 4.5 + 2p * 4.5) -53 + -2p = (-31.5 + 9p) Solving -53 + -2p = -31.5 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -53 + -2p + -9p = -31.5 + 9p + -9p Combine like terms: -2p + -9p = -11p -53 + -11p = -31.5 + 9p + -9p Combine like terms: 9p + -9p = 0 -53 + -11p = -31.5 + 0 -53 + -11p = -31.5 Add '53' to each side of the equation. -53 + 53 + -11p = -31.5 + 53 Combine like terms: -53 + 53 = 0 0 + -11p = -31.5 + 53 -11p = -31.5 + 53 Combine like terms: -31.5 + 53 = 21.5 -11p = 21.5 Divide each side by '-11'. p = -1.954545455 Simplifying p = -1.954545455
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