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Simplifying 55.2 = 6(m + 2.1) Reorder the terms: 55.2 = 6(2.1 + m) 55.2 = (2.1 * 6 + m * 6) 55.2 = (12.6 + 6m) Solving 55.2 = 12.6 + 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. 55.2 + -6m = 12.6 + 6m + -6m Combine like terms: 6m + -6m = 0 55.2 + -6m = 12.6 + 0 55.2 + -6m = 12.6 Add '-55.2' to each side of the equation. 55.2 + -55.2 + -6m = 12.6 + -55.2 Combine like terms: 55.2 + -55.2 = 0.0 0.0 + -6m = 12.6 + -55.2 -6m = 12.6 + -55.2 Combine like terms: 12.6 + -55.2 = -42.6 -6m = -42.6 Divide each side by '-6'. m = 7.1 Simplifying m = 7.1
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