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Simplifying 2m + 1 = 3m + 4(m + -1) Reorder the terms: 1 + 2m = 3m + 4(m + -1) Reorder the terms: 1 + 2m = 3m + 4(-1 + m) 1 + 2m = 3m + (-1 * 4 + m * 4) 1 + 2m = 3m + (-4 + 4m) Reorder the terms: 1 + 2m = -4 + 3m + 4m Combine like terms: 3m + 4m = 7m 1 + 2m = -4 + 7m Solving 1 + 2m = -4 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1 + 2m + -7m = -4 + 7m + -7m Combine like terms: 2m + -7m = -5m 1 + -5m = -4 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + -5m = -4 + 0 1 + -5m = -4 Add '-1' to each side of the equation. 1 + -1 + -5m = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = -4 + -1 -5m = -4 + -1 Combine like terms: -4 + -1 = -5 -5m = -5 Divide each side by '-5'. m = 1 Simplifying m = 1
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