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Simplifying -5m + 21 = 6m + -56 Reorder the terms: 21 + -5m = 6m + -56 Reorder the terms: 21 + -5m = -56 + 6m Solving 21 + -5m = -56 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 21 + -5m + -6m = -56 + 6m + -6m Combine like terms: -5m + -6m = -11m 21 + -11m = -56 + 6m + -6m Combine like terms: 6m + -6m = 0 21 + -11m = -56 + 0 21 + -11m = -56 Add '-21' to each side of the equation. 21 + -21 + -11m = -56 + -21 Combine like terms: 21 + -21 = 0 0 + -11m = -56 + -21 -11m = -56 + -21 Combine like terms: -56 + -21 = -77 -11m = -77 Divide each side by '-11'. m = 7 Simplifying m = 7
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