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Simplifying 103.5 = 9(m + 3.5) Reorder the terms: 103.5 = 9(3.5 + m) 103.5 = (3.5 * 9 + m * 9) 103.5 = (31.5 + 9m) Solving 103.5 = 31.5 + 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. 103.5 + -9m = 31.5 + 9m + -9m Combine like terms: 9m + -9m = 0 103.5 + -9m = 31.5 + 0 103.5 + -9m = 31.5 Add '-103.5' to each side of the equation. 103.5 + -103.5 + -9m = 31.5 + -103.5 Combine like terms: 103.5 + -103.5 = 0.0 0.0 + -9m = 31.5 + -103.5 -9m = 31.5 + -103.5 Combine like terms: 31.5 + -103.5 = -72 -9m = -72 Divide each side by '-9'. m = 8 Simplifying m = 8
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