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Simplifying 5 + -0.2(m + -2) = 3.6m + 1.6 Reorder the terms: 5 + -0.2(-2 + m) = 3.6m + 1.6 5 + (-2 * -0.2 + m * -0.2) = 3.6m + 1.6 5 + (0.4 + -0.2m) = 3.6m + 1.6 Combine like terms: 5 + 0.4 = 5.4 5.4 + -0.2m = 3.6m + 1.6 Reorder the terms: 5.4 + -0.2m = 1.6 + 3.6m Solving 5.4 + -0.2m = 1.6 + 3.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.6m' to each side of the equation. 5.4 + -0.2m + -3.6m = 1.6 + 3.6m + -3.6m Combine like terms: -0.2m + -3.6m = -3.8m 5.4 + -3.8m = 1.6 + 3.6m + -3.6m Combine like terms: 3.6m + -3.6m = 0.0 5.4 + -3.8m = 1.6 + 0.0 5.4 + -3.8m = 1.6 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -3.8m = 1.6 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -3.8m = 1.6 + -5.4 -3.8m = 1.6 + -5.4 Combine like terms: 1.6 + -5.4 = -3.8 -3.8m = -3.8 Divide each side by '-3.8'. m = 1 Simplifying m = 1
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