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Simplifying 8(p + -1) + -5(2p + 0) = 2.5(2p + -5) Reorder the terms: 8(-1 + p) + -5(2p + 0) = 2.5(2p + -5) (-1 * 8 + p * 8) + -5(2p + 0) = 2.5(2p + -5) (-8 + 8p) + -5(2p + 0) = 2.5(2p + -5) Reorder the terms: -8 + 8p + -5(0 + 2p) = 2.5(2p + -5) Remove the zero: -8 + 8p + -5(2p) = 2.5(2p + -5) Remove parenthesis around (2p) -8 + 8p + -5 * 2p = 2.5(2p + -5) Multiply -5 * 2 -8 + 8p + -10p = 2.5(2p + -5) Combine like terms: 8p + -10p = -2p -8 + -2p = 2.5(2p + -5) Reorder the terms: -8 + -2p = 2.5(-5 + 2p) -8 + -2p = (-5 * 2.5 + 2p * 2.5) -8 + -2p = (-12.5 + 5p) Solving -8 + -2p = -12.5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + -2p + -5p = -12.5 + 5p + -5p Combine like terms: -2p + -5p = -7p -8 + -7p = -12.5 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + -7p = -12.5 + 0 -8 + -7p = -12.5 Add '8' to each side of the equation. -8 + 8 + -7p = -12.5 + 8 Combine like terms: -8 + 8 = 0 0 + -7p = -12.5 + 8 -7p = -12.5 + 8 Combine like terms: -12.5 + 8 = -4.5 -7p = -4.5 Divide each side by '-7'. p = 0.6428571429 Simplifying p = 0.6428571429
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