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Simplifying 2(2m + 1) = 7(m + 1) + -4(2m + -3) Reorder the terms: 2(1 + 2m) = 7(m + 1) + -4(2m + -3) (1 * 2 + 2m * 2) = 7(m + 1) + -4(2m + -3) (2 + 4m) = 7(m + 1) + -4(2m + -3) Reorder the terms: 2 + 4m = 7(1 + m) + -4(2m + -3) 2 + 4m = (1 * 7 + m * 7) + -4(2m + -3) 2 + 4m = (7 + 7m) + -4(2m + -3) Reorder the terms: 2 + 4m = 7 + 7m + -4(-3 + 2m) 2 + 4m = 7 + 7m + (-3 * -4 + 2m * -4) 2 + 4m = 7 + 7m + (12 + -8m) Reorder the terms: 2 + 4m = 7 + 12 + 7m + -8m Combine like terms: 7 + 12 = 19 2 + 4m = 19 + 7m + -8m Combine like terms: 7m + -8m = -1m 2 + 4m = 19 + -1m Solving 2 + 4m = 19 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 2 + 4m + m = 19 + -1m + m Combine like terms: 4m + m = 5m 2 + 5m = 19 + -1m + m Combine like terms: -1m + m = 0 2 + 5m = 19 + 0 2 + 5m = 19 Add '-2' to each side of the equation. 2 + -2 + 5m = 19 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 19 + -2 5m = 19 + -2 Combine like terms: 19 + -2 = 17 5m = 17 Divide each side by '5'. m = 3.4 Simplifying m = 3.4
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