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Simplifying 3m + 9 = 9(m + 1) + -7m Reorder the terms: 9 + 3m = 9(m + 1) + -7m Reorder the terms: 9 + 3m = 9(1 + m) + -7m 9 + 3m = (1 * 9 + m * 9) + -7m 9 + 3m = (9 + 9m) + -7m Combine like terms: 9m + -7m = 2m 9 + 3m = 9 + 2m Add '-9' to each side of the equation. 9 + -9 + 3m = 9 + -9 + 2m Combine like terms: 9 + -9 = 0 0 + 3m = 9 + -9 + 2m 3m = 9 + -9 + 2m Combine like terms: 9 + -9 = 0 3m = 0 + 2m 3m = 2m Solving 3m = 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3m + -2m = 2m + -2m Combine like terms: 3m + -2m = 1m 1m = 2m + -2m Combine like terms: 2m + -2m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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