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Simplifying 8(p + -4) + -5(2p + 3) = 3.5(2p + -5) Reorder the terms: 8(-4 + p) + -5(2p + 3) = 3.5(2p + -5) (-4 * 8 + p * 8) + -5(2p + 3) = 3.5(2p + -5) (-32 + 8p) + -5(2p + 3) = 3.5(2p + -5) Reorder the terms: -32 + 8p + -5(3 + 2p) = 3.5(2p + -5) -32 + 8p + (3 * -5 + 2p * -5) = 3.5(2p + -5) -32 + 8p + (-15 + -10p) = 3.5(2p + -5) Reorder the terms: -32 + -15 + 8p + -10p = 3.5(2p + -5) Combine like terms: -32 + -15 = -47 -47 + 8p + -10p = 3.5(2p + -5) Combine like terms: 8p + -10p = -2p -47 + -2p = 3.5(2p + -5) Reorder the terms: -47 + -2p = 3.5(-5 + 2p) -47 + -2p = (-5 * 3.5 + 2p * 3.5) -47 + -2p = (-17.5 + 7p) Solving -47 + -2p = -17.5 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -47 + -2p + -7p = -17.5 + 7p + -7p Combine like terms: -2p + -7p = -9p -47 + -9p = -17.5 + 7p + -7p Combine like terms: 7p + -7p = 0 -47 + -9p = -17.5 + 0 -47 + -9p = -17.5 Add '47' to each side of the equation. -47 + 47 + -9p = -17.5 + 47 Combine like terms: -47 + 47 = 0 0 + -9p = -17.5 + 47 -9p = -17.5 + 47 Combine like terms: -17.5 + 47 = 29.5 -9p = 29.5 Divide each side by '-9'. p = -3.277777778 Simplifying p = -3.277777778
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