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Simplifying 3 + -4(m + -5) + 2m = 5m + 7 Reorder the terms: 3 + -4(-5 + m) + 2m = 5m + 7 3 + (-5 * -4 + m * -4) + 2m = 5m + 7 3 + (20 + -4m) + 2m = 5m + 7 Combine like terms: 3 + 20 = 23 23 + -4m + 2m = 5m + 7 Combine like terms: -4m + 2m = -2m 23 + -2m = 5m + 7 Reorder the terms: 23 + -2m = 7 + 5m Solving 23 + -2m = 7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 23 + -2m + -5m = 7 + 5m + -5m Combine like terms: -2m + -5m = -7m 23 + -7m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 23 + -7m = 7 + 0 23 + -7m = 7 Add '-23' to each side of the equation. 23 + -23 + -7m = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -7m = 7 + -23 -7m = 7 + -23 Combine like terms: 7 + -23 = -16 -7m = -16 Divide each side by '-7'. m = 2.285714286 Simplifying m = 2.285714286
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