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Simplifying 84.6 = 9(m + 2.2) Reorder the terms: 84.6 = 9(2.2 + m) 84.6 = (2.2 * 9 + m * 9) 84.6 = (19.8 + 9m) Solving 84.6 = 19.8 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 84.6 + -9m = 19.8 + 9m + -9m Combine like terms: 9m + -9m = 0 84.6 + -9m = 19.8 + 0 84.6 + -9m = 19.8 Add '-84.6' to each side of the equation. 84.6 + -84.6 + -9m = 19.8 + -84.6 Combine like terms: 84.6 + -84.6 = 0.0 0.0 + -9m = 19.8 + -84.6 -9m = 19.8 + -84.6 Combine like terms: 19.8 + -84.6 = -64.8 -9m = -64.8 Divide each side by '-9'. m = 7.2 Simplifying m = 7.2
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