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Simplifying 106.2 = 9(m + 3.6) Reorder the terms: 106.2 = 9(3.6 + m) 106.2 = (3.6 * 9 + m * 9) 106.2 = (32.4 + 9m) Solving 106.2 = 32.4 + 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. 106.2 + -9m = 32.4 + 9m + -9m Combine like terms: 9m + -9m = 0 106.2 + -9m = 32.4 + 0 106.2 + -9m = 32.4 Add '-106.2' to each side of the equation. 106.2 + -106.2 + -9m = 32.4 + -106.2 Combine like terms: 106.2 + -106.2 = 0.0 0.0 + -9m = 32.4 + -106.2 -9m = 32.4 + -106.2 Combine like terms: 32.4 + -106.2 = -73.8 -9m = -73.8 Divide each side by '-9'. m = 8.2 Simplifying m = 8.2
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