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Simplifying -3.6p + 1.4 = -0.4(8p + -9) Reorder the terms: 1.4 + -3.6p = -0.4(8p + -9) Reorder the terms: 1.4 + -3.6p = -0.4(-9 + 8p) 1.4 + -3.6p = (-9 * -0.4 + 8p * -0.4) 1.4 + -3.6p = (3.6 + -3.2p) Solving 1.4 + -3.6p = 3.6 + -3.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3.2p' to each side of the equation. 1.4 + -3.6p + 3.2p = 3.6 + -3.2p + 3.2p Combine like terms: -3.6p + 3.2p = -0.4p 1.4 + -0.4p = 3.6 + -3.2p + 3.2p Combine like terms: -3.2p + 3.2p = 0.0 1.4 + -0.4p = 3.6 + 0.0 1.4 + -0.4p = 3.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.4p = 3.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.4p = 3.6 + -1.4 -0.4p = 3.6 + -1.4 Combine like terms: 3.6 + -1.4 = 2.2 -0.4p = 2.2 Divide each side by '-0.4'. p = -5.5 Simplifying p = -5.5
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