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Simplifying 3m + 7 = 5(m + -4) + 2m Reorder the terms: 7 + 3m = 5(m + -4) + 2m Reorder the terms: 7 + 3m = 5(-4 + m) + 2m 7 + 3m = (-4 * 5 + m * 5) + 2m 7 + 3m = (-20 + 5m) + 2m Combine like terms: 5m + 2m = 7m 7 + 3m = -20 + 7m Solving 7 + 3m = -20 + 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. 7 + 3m + -7m = -20 + 7m + -7m Combine like terms: 3m + -7m = -4m 7 + -4m = -20 + 7m + -7m Combine like terms: 7m + -7m = 0 7 + -4m = -20 + 0 7 + -4m = -20 Add '-7' to each side of the equation. 7 + -7 + -4m = -20 + -7 Combine like terms: 7 + -7 = 0 0 + -4m = -20 + -7 -4m = -20 + -7 Combine like terms: -20 + -7 = -27 -4m = -27 Divide each side by '-4'. m = 6.75 Simplifying m = 6.75
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