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Simplifying 55.8 = 6(m + 2.4) Reorder the terms: 55.8 = 6(2.4 + m) 55.8 = (2.4 * 6 + m * 6) 55.8 = (14.4 + 6m) Solving 55.8 = 14.4 + 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. 55.8 + -6m = 14.4 + 6m + -6m Combine like terms: 6m + -6m = 0 55.8 + -6m = 14.4 + 0 55.8 + -6m = 14.4 Add '-55.8' to each side of the equation. 55.8 + -55.8 + -6m = 14.4 + -55.8 Combine like terms: 55.8 + -55.8 = 0.0 0.0 + -6m = 14.4 + -55.8 -6m = 14.4 + -55.8 Combine like terms: 14.4 + -55.8 = -41.4 -6m = -41.4 Divide each side by '-6'. m = 6.9 Simplifying m = 6.9
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