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Simplifying 14 + -0.4(p + -15) = 0.1(3p + -15) Reorder the terms: 14 + -0.4(-15 + p) = 0.1(3p + -15) 14 + (-15 * -0.4 + p * -0.4) = 0.1(3p + -15) 14 + (6 + -0.4p) = 0.1(3p + -15) Combine like terms: 14 + 6 = 20 20 + -0.4p = 0.1(3p + -15) Reorder the terms: 20 + -0.4p = 0.1(-15 + 3p) 20 + -0.4p = (-15 * 0.1 + 3p * 0.1) 20 + -0.4p = (-1.5 + 0.3p) Solving 20 + -0.4p = -1.5 + 0.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.3p' to each side of the equation. 20 + -0.4p + -0.3p = -1.5 + 0.3p + -0.3p Combine like terms: -0.4p + -0.3p = -0.7p 20 + -0.7p = -1.5 + 0.3p + -0.3p Combine like terms: 0.3p + -0.3p = 0.0 20 + -0.7p = -1.5 + 0.0 20 + -0.7p = -1.5 Add '-20' to each side of the equation. 20 + -20 + -0.7p = -1.5 + -20 Combine like terms: 20 + -20 = 0 0 + -0.7p = -1.5 + -20 -0.7p = -1.5 + -20 Combine like terms: -1.5 + -20 = -21.5 -0.7p = -21.5 Divide each side by '-0.7'. p = 30.71428571 Simplifying p = 30.71428571
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