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Simplifying 65.4 = 6(m + 3.2) Reorder the terms: 65.4 = 6(3.2 + m) 65.4 = (3.2 * 6 + m * 6) 65.4 = (19.2 + 6m) Solving 65.4 = 19.2 + 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. 65.4 + -6m = 19.2 + 6m + -6m Combine like terms: 6m + -6m = 0 65.4 + -6m = 19.2 + 0 65.4 + -6m = 19.2 Add '-65.4' to each side of the equation. 65.4 + -65.4 + -6m = 19.2 + -65.4 Combine like terms: 65.4 + -65.4 = 0.0 0.0 + -6m = 19.2 + -65.4 -6m = 19.2 + -65.4 Combine like terms: 19.2 + -65.4 = -46.2 -6m = -46.2 Divide each side by '-6'. m = 7.7 Simplifying m = 7.7
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