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Simplifying 4(p + -8) + -3(2p + 7) = 4.5(2p + -11) Reorder the terms: 4(-8 + p) + -3(2p + 7) = 4.5(2p + -11) (-8 * 4 + p * 4) + -3(2p + 7) = 4.5(2p + -11) (-32 + 4p) + -3(2p + 7) = 4.5(2p + -11) Reorder the terms: -32 + 4p + -3(7 + 2p) = 4.5(2p + -11) -32 + 4p + (7 * -3 + 2p * -3) = 4.5(2p + -11) -32 + 4p + (-21 + -6p) = 4.5(2p + -11) Reorder the terms: -32 + -21 + 4p + -6p = 4.5(2p + -11) Combine like terms: -32 + -21 = -53 -53 + 4p + -6p = 4.5(2p + -11) Combine like terms: 4p + -6p = -2p -53 + -2p = 4.5(2p + -11) Reorder the terms: -53 + -2p = 4.5(-11 + 2p) -53 + -2p = (-11 * 4.5 + 2p * 4.5) -53 + -2p = (-49.5 + 9p) Solving -53 + -2p = -49.5 + 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 = -49.5 + 9p + -9p Combine like terms: -2p + -9p = -11p -53 + -11p = -49.5 + 9p + -9p Combine like terms: 9p + -9p = 0 -53 + -11p = -49.5 + 0 -53 + -11p = -49.5 Add '53' to each side of the equation. -53 + 53 + -11p = -49.5 + 53 Combine like terms: -53 + 53 = 0 0 + -11p = -49.5 + 53 -11p = -49.5 + 53 Combine like terms: -49.5 + 53 = 3.5 -11p = 3.5 Divide each side by '-11'. p = -0.3181818182 Simplifying p = -0.3181818182
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