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Simplifying 55.8 = 6(m + 2.6) Reorder the terms: 55.8 = 6(2.6 + m) 55.8 = (2.6 * 6 + m * 6) 55.8 = (15.6 + 6m) Solving 55.8 = 15.6 + 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 = 15.6 + 6m + -6m Combine like terms: 6m + -6m = 0 55.8 + -6m = 15.6 + 0 55.8 + -6m = 15.6 Add '-55.8' to each side of the equation. 55.8 + -55.8 + -6m = 15.6 + -55.8 Combine like terms: 55.8 + -55.8 = 0.0 0.0 + -6m = 15.6 + -55.8 -6m = 15.6 + -55.8 Combine like terms: 15.6 + -55.8 = -40.2 -6m = -40.2 Divide each side by '-6'. m = 6.7 Simplifying m = 6.7
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