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Simplifying 0.4(p + 5) + -0.8(p + 1) = 6 Reorder the terms: 0.4(5 + p) + -0.8(p + 1) = 6 (5 * 0.4 + p * 0.4) + -0.8(p + 1) = 6 (2 + 0.4p) + -0.8(p + 1) = 6 Reorder the terms: 2 + 0.4p + -0.8(1 + p) = 6 2 + 0.4p + (1 * -0.8 + p * -0.8) = 6 2 + 0.4p + (-0.8 + -0.8p) = 6 Reorder the terms: 2 + -0.8 + 0.4p + -0.8p = 6 Combine like terms: 2 + -0.8 = 1.2 1.2 + 0.4p + -0.8p = 6 Combine like terms: 0.4p + -0.8p = -0.4p 1.2 + -0.4p = 6 Solving 1.2 + -0.4p = 6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.4p = 6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4p = 6 + -1.2 -0.4p = 6 + -1.2 Combine like terms: 6 + -1.2 = 4.8 -0.4p = 4.8 Divide each side by '-0.4'. p = -12 Simplifying p = -12
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