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Simplifying 71.4 = 6(m + 3.7) Reorder the terms: 71.4 = 6(3.7 + m) 71.4 = (3.7 * 6 + m * 6) 71.4 = (22.2 + 6m) Solving 71.4 = 22.2 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 71.4 + -6m = 22.2 + 6m + -6m Combine like terms: 6m + -6m = 0 71.4 + -6m = 22.2 + 0 71.4 + -6m = 22.2 Add '-71.4' to each side of the equation. 71.4 + -71.4 + -6m = 22.2 + -71.4 Combine like terms: 71.4 + -71.4 = 0.0 0.0 + -6m = 22.2 + -71.4 -6m = 22.2 + -71.4 Combine like terms: 22.2 + -71.4 = -49.2 -6m = -49.2 Divide each side by '-6'. m = 8.2 Simplifying m = 8.2
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