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Simplifying 7m + 9 = 2(2m + -3) Reorder the terms: 9 + 7m = 2(2m + -3) Reorder the terms: 9 + 7m = 2(-3 + 2m) 9 + 7m = (-3 * 2 + 2m * 2) 9 + 7m = (-6 + 4m) Solving 9 + 7m = -6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 9 + 7m + -4m = -6 + 4m + -4m Combine like terms: 7m + -4m = 3m 9 + 3m = -6 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + 3m = -6 + 0 9 + 3m = -6 Add '-9' to each side of the equation. 9 + -9 + 3m = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 3m = -6 + -9 3m = -6 + -9 Combine like terms: -6 + -9 = -15 3m = -15 Divide each side by '3'. m = -5 Simplifying m = -5
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