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Simplifying 0.6m + -1.4 = (3.5m + 1.7) + -1(2.7m + -3.4) Reorder the terms: -1.4 + 0.6m = (3.5m + 1.7) + -1(2.7m + -3.4) Reorder the terms: -1.4 + 0.6m = (1.7 + 3.5m) + -1(2.7m + -3.4) Remove parenthesis around (1.7 + 3.5m) -1.4 + 0.6m = 1.7 + 3.5m + -1(2.7m + -3.4) Reorder the terms: -1.4 + 0.6m = 1.7 + 3.5m + -1(-3.4 + 2.7m) -1.4 + 0.6m = 1.7 + 3.5m + (-3.4 * -1 + 2.7m * -1) -1.4 + 0.6m = 1.7 + 3.5m + (3.4 + -2.7m) Reorder the terms: -1.4 + 0.6m = 1.7 + 3.4 + 3.5m + -2.7m Combine like terms: 1.7 + 3.4 = 5.1 -1.4 + 0.6m = 5.1 + 3.5m + -2.7m Combine like terms: 3.5m + -2.7m = 0.8m -1.4 + 0.6m = 5.1 + 0.8m Solving -1.4 + 0.6m = 5.1 + 0.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.8m' to each side of the equation. -1.4 + 0.6m + -0.8m = 5.1 + 0.8m + -0.8m Combine like terms: 0.6m + -0.8m = -0.2m -1.4 + -0.2m = 5.1 + 0.8m + -0.8m Combine like terms: 0.8m + -0.8m = 0.0 -1.4 + -0.2m = 5.1 + 0.0 -1.4 + -0.2m = 5.1 Add '1.4' to each side of the equation. -1.4 + 1.4 + -0.2m = 5.1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -0.2m = 5.1 + 1.4 -0.2m = 5.1 + 1.4 Combine like terms: 5.1 + 1.4 = 6.5 -0.2m = 6.5 Divide each side by '-0.2'. m = -32.5 Simplifying m = -32.5
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