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Simplifying -6m + 12 = 7m + 34 Reorder the terms: 12 + -6m = 7m + 34 Reorder the terms: 12 + -6m = 34 + 7m Solving 12 + -6m = 34 + 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. 12 + -6m + -7m = 34 + 7m + -7m Combine like terms: -6m + -7m = -13m 12 + -13m = 34 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + -13m = 34 + 0 12 + -13m = 34 Add '-12' to each side of the equation. 12 + -12 + -13m = 34 + -12 Combine like terms: 12 + -12 = 0 0 + -13m = 34 + -12 -13m = 34 + -12 Combine like terms: 34 + -12 = 22 -13m = 22 Divide each side by '-13'. m = -1.692307692 Simplifying m = -1.692307692
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