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Simplifying 0.6 + -0.2(m + -4) = 1.2 + -0.3(m + -2) Reorder the terms: 0.6 + -0.2(-4 + m) = 1.2 + -0.3(m + -2) 0.6 + (-4 * -0.2 + m * -0.2) = 1.2 + -0.3(m + -2) 0.6 + (0.8 + -0.2m) = 1.2 + -0.3(m + -2) Combine like terms: 0.6 + 0.8 = 1.4 1.4 + -0.2m = 1.2 + -0.3(m + -2) Reorder the terms: 1.4 + -0.2m = 1.2 + -0.3(-2 + m) 1.4 + -0.2m = 1.2 + (-2 * -0.3 + m * -0.3) 1.4 + -0.2m = 1.2 + (0.6 + -0.3m) Combine like terms: 1.2 + 0.6 = 1.8 1.4 + -0.2m = 1.8 + -0.3m Solving 1.4 + -0.2m = 1.8 + -0.3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.3m' to each side of the equation. 1.4 + -0.2m + 0.3m = 1.8 + -0.3m + 0.3m Combine like terms: -0.2m + 0.3m = 0.1m 1.4 + 0.1m = 1.8 + -0.3m + 0.3m Combine like terms: -0.3m + 0.3m = 0.0 1.4 + 0.1m = 1.8 + 0.0 1.4 + 0.1m = 1.8 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.1m = 1.8 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.1m = 1.8 + -1.4 0.1m = 1.8 + -1.4 Combine like terms: 1.8 + -1.4 = 0.4 0.1m = 0.4 Divide each side by '0.1'. m = 4 Simplifying m = 4
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