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Simplifying 4(p + -5) + -3(2p + 9) = 3.5(2p + -13) Reorder the terms: 4(-5 + p) + -3(2p + 9) = 3.5(2p + -13) (-5 * 4 + p * 4) + -3(2p + 9) = 3.5(2p + -13) (-20 + 4p) + -3(2p + 9) = 3.5(2p + -13) Reorder the terms: -20 + 4p + -3(9 + 2p) = 3.5(2p + -13) -20 + 4p + (9 * -3 + 2p * -3) = 3.5(2p + -13) -20 + 4p + (-27 + -6p) = 3.5(2p + -13) Reorder the terms: -20 + -27 + 4p + -6p = 3.5(2p + -13) Combine like terms: -20 + -27 = -47 -47 + 4p + -6p = 3.5(2p + -13) Combine like terms: 4p + -6p = -2p -47 + -2p = 3.5(2p + -13) Reorder the terms: -47 + -2p = 3.5(-13 + 2p) -47 + -2p = (-13 * 3.5 + 2p * 3.5) -47 + -2p = (-45.5 + 7p) Solving -47 + -2p = -45.5 + 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 = -45.5 + 7p + -7p Combine like terms: -2p + -7p = -9p -47 + -9p = -45.5 + 7p + -7p Combine like terms: 7p + -7p = 0 -47 + -9p = -45.5 + 0 -47 + -9p = -45.5 Add '47' to each side of the equation. -47 + 47 + -9p = -45.5 + 47 Combine like terms: -47 + 47 = 0 0 + -9p = -45.5 + 47 -9p = -45.5 + 47 Combine like terms: -45.5 + 47 = 1.5 -9p = 1.5 Divide each side by '-9'. p = -0.1666666667 Simplifying p = -0.1666666667
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