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Simplifying 51.6 = 6(m + 2.4) Reorder the terms: 51.6 = 6(2.4 + m) 51.6 = (2.4 * 6 + m * 6) 51.6 = (14.4 + 6m) Solving 51.6 = 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. 51.6 + -6m = 14.4 + 6m + -6m Combine like terms: 6m + -6m = 0 51.6 + -6m = 14.4 + 0 51.6 + -6m = 14.4 Add '-51.6' to each side of the equation. 51.6 + -51.6 + -6m = 14.4 + -51.6 Combine like terms: 51.6 + -51.6 = 0.0 0.0 + -6m = 14.4 + -51.6 -6m = 14.4 + -51.6 Combine like terms: 14.4 + -51.6 = -37.2 -6m = -37.2 Divide each side by '-6'. m = 6.2 Simplifying m = 6.2
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