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Simplifying 6m + -43 = 7m + -81 Reorder the terms: -43 + 6m = 7m + -81 Reorder the terms: -43 + 6m = -81 + 7m Solving -43 + 6m = -81 + 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. -43 + 6m + -7m = -81 + 7m + -7m Combine like terms: 6m + -7m = -1m -43 + -1m = -81 + 7m + -7m Combine like terms: 7m + -7m = 0 -43 + -1m = -81 + 0 -43 + -1m = -81 Add '43' to each side of the equation. -43 + 43 + -1m = -81 + 43 Combine like terms: -43 + 43 = 0 0 + -1m = -81 + 43 -1m = -81 + 43 Combine like terms: -81 + 43 = -38 -1m = -38 Divide each side by '-1'. m = 38 Simplifying m = 38
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