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Simplifying 5(0.4p + -3) = -7(1.5p + 9) Reorder the terms: 5(-3 + 0.4p) = -7(1.5p + 9) (-3 * 5 + 0.4p * 5) = -7(1.5p + 9) (-15 + 2p) = -7(1.5p + 9) Reorder the terms: -15 + 2p = -7(9 + 1.5p) -15 + 2p = (9 * -7 + 1.5p * -7) -15 + 2p = (-63 + -10.5p) Solving -15 + 2p = -63 + -10.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10.5p' to each side of the equation. -15 + 2p + 10.5p = -63 + -10.5p + 10.5p Combine like terms: 2p + 10.5p = 12.5p -15 + 12.5p = -63 + -10.5p + 10.5p Combine like terms: -10.5p + 10.5p = 0.0 -15 + 12.5p = -63 + 0.0 -15 + 12.5p = -63 Add '15' to each side of the equation. -15 + 15 + 12.5p = -63 + 15 Combine like terms: -15 + 15 = 0 0 + 12.5p = -63 + 15 12.5p = -63 + 15 Combine like terms: -63 + 15 = -48 12.5p = -48 Divide each side by '12.5'. p = -3.84 Simplifying p = -3.84
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