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Simplifying 11 + -0.8(p + -1) = 0.5(3p + -1) Reorder the terms: 11 + -0.8(-1 + p) = 0.5(3p + -1) 11 + (-1 * -0.8 + p * -0.8) = 0.5(3p + -1) 11 + (0.8 + -0.8p) = 0.5(3p + -1) Combine like terms: 11 + 0.8 = 11.8 11.8 + -0.8p = 0.5(3p + -1) Reorder the terms: 11.8 + -0.8p = 0.5(-1 + 3p) 11.8 + -0.8p = (-1 * 0.5 + 3p * 0.5) 11.8 + -0.8p = (-0.5 + 1.5p) Solving 11.8 + -0.8p = -0.5 + 1.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5p' to each side of the equation. 11.8 + -0.8p + -1.5p = -0.5 + 1.5p + -1.5p Combine like terms: -0.8p + -1.5p = -2.3p 11.8 + -2.3p = -0.5 + 1.5p + -1.5p Combine like terms: 1.5p + -1.5p = 0.0 11.8 + -2.3p = -0.5 + 0.0 11.8 + -2.3p = -0.5 Add '-11.8' to each side of the equation. 11.8 + -11.8 + -2.3p = -0.5 + -11.8 Combine like terms: 11.8 + -11.8 = 0.0 0.0 + -2.3p = -0.5 + -11.8 -2.3p = -0.5 + -11.8 Combine like terms: -0.5 + -11.8 = -12.3 -2.3p = -12.3 Divide each side by '-2.3'. p = 5.347826087 Simplifying p = 5.347826087
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