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Simplifying 0.8(7m + -2) = 9.5m + 1 Reorder the terms: 0.8(-2 + 7m) = 9.5m + 1 (-2 * 0.8 + 7m * 0.8) = 9.5m + 1 (-1.6 + 5.6m) = 9.5m + 1 Reorder the terms: -1.6 + 5.6m = 1 + 9.5m Solving -1.6 + 5.6m = 1 + 9.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9.5m' to each side of the equation. -1.6 + 5.6m + -9.5m = 1 + 9.5m + -9.5m Combine like terms: 5.6m + -9.5m = -3.9m -1.6 + -3.9m = 1 + 9.5m + -9.5m Combine like terms: 9.5m + -9.5m = 0.0 -1.6 + -3.9m = 1 + 0.0 -1.6 + -3.9m = 1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -3.9m = 1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -3.9m = 1 + 1.6 -3.9m = 1 + 1.6 Combine like terms: 1 + 1.6 = 2.6 -3.9m = 2.6 Divide each side by '-3.9'. m = -0.6666666667 Simplifying m = -0.6666666667
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