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Simplifying 6m + 5 = -8 + 3m + 7m Reorder the terms: 5 + 6m = -8 + 3m + 7m Combine like terms: 3m + 7m = 10m 5 + 6m = -8 + 10m Solving 5 + 6m = -8 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 5 + 6m + -10m = -8 + 10m + -10m Combine like terms: 6m + -10m = -4m 5 + -4m = -8 + 10m + -10m Combine like terms: 10m + -10m = 0 5 + -4m = -8 + 0 5 + -4m = -8 Add '-5' to each side of the equation. 5 + -5 + -4m = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = -8 + -5 -4m = -8 + -5 Combine like terms: -8 + -5 = -13 -4m = -13 Divide each side by '-4'. m = 3.25 Simplifying m = 3.25
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