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Simplifying 16 + -0.3(m + -13) = 0.4(5m + -13) Reorder the terms: 16 + -0.3(-13 + m) = 0.4(5m + -13) 16 + (-13 * -0.3 + m * -0.3) = 0.4(5m + -13) 16 + (3.9 + -0.3m) = 0.4(5m + -13) Combine like terms: 16 + 3.9 = 19.9 19.9 + -0.3m = 0.4(5m + -13) Reorder the terms: 19.9 + -0.3m = 0.4(-13 + 5m) 19.9 + -0.3m = (-13 * 0.4 + 5m * 0.4) 19.9 + -0.3m = (-5.2 + 2m) Solving 19.9 + -0.3m = -5.2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 19.9 + -0.3m + -2m = -5.2 + 2m + -2m Combine like terms: -0.3m + -2m = -2.3m 19.9 + -2.3m = -5.2 + 2m + -2m Combine like terms: 2m + -2m = 0 19.9 + -2.3m = -5.2 + 0 19.9 + -2.3m = -5.2 Add '-19.9' to each side of the equation. 19.9 + -19.9 + -2.3m = -5.2 + -19.9 Combine like terms: 19.9 + -19.9 = 0.0 0.0 + -2.3m = -5.2 + -19.9 -2.3m = -5.2 + -19.9 Combine like terms: -5.2 + -19.9 = -25.1 -2.3m = -25.1 Divide each side by '-2.3'. m = 10.91304348 Simplifying m = 10.91304348
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