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Simplifying m + 7 = 6m + -3 Reorder the terms: 7 + m = 6m + -3 Reorder the terms: 7 + m = -3 + 6m Solving 7 + m = -3 + 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. 7 + m + -6m = -3 + 6m + -6m Combine like terms: m + -6m = -5m 7 + -5m = -3 + 6m + -6m Combine like terms: 6m + -6m = 0 7 + -5m = -3 + 0 7 + -5m = -3 Add '-7' to each side of the equation. 7 + -7 + -5m = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = -3 + -7 -5m = -3 + -7 Combine like terms: -3 + -7 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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