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Simplifying 7[25 + -1m] + -2m = 2[3m + -25] [25 * 7 + -1m * 7] + -2m = 2[3m + -25] [175 + -7m] + -2m = 2[3m + -25] Combine like terms: -7m + -2m = -9m 175 + -9m = 2[3m + -25] Reorder the terms: 175 + -9m = 2[-25 + 3m] 175 + -9m = [-25 * 2 + 3m * 2] 175 + -9m = [-50 + 6m] Solving 175 + -9m = -50 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 175 + -9m + -6m = -50 + 6m + -6m Combine like terms: -9m + -6m = -15m 175 + -15m = -50 + 6m + -6m Combine like terms: 6m + -6m = 0 175 + -15m = -50 + 0 175 + -15m = -50 Add '-175' to each side of the equation. 175 + -175 + -15m = -50 + -175 Combine like terms: 175 + -175 = 0 0 + -15m = -50 + -175 -15m = -50 + -175 Combine like terms: -50 + -175 = -225 -15m = -225 Divide each side by '-15'. m = 15 Simplifying m = 15
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