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Simplifying 7m + -31 = 2(m + -3) Reorder the terms: -31 + 7m = 2(m + -3) Reorder the terms: -31 + 7m = 2(-3 + m) -31 + 7m = (-3 * 2 + m * 2) -31 + 7m = (-6 + 2m) Solving -31 + 7m = -6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -31 + 7m + -2m = -6 + 2m + -2m Combine like terms: 7m + -2m = 5m -31 + 5m = -6 + 2m + -2m Combine like terms: 2m + -2m = 0 -31 + 5m = -6 + 0 -31 + 5m = -6 Add '31' to each side of the equation. -31 + 31 + 5m = -6 + 31 Combine like terms: -31 + 31 = 0 0 + 5m = -6 + 31 5m = -6 + 31 Combine like terms: -6 + 31 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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