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Simplifying -6m + 30 = -1m + -2 + -8 Reorder the terms: 30 + -6m = -1m + -2 + -8 Reorder the terms: 30 + -6m = -2 + -8 + -1m Combine like terms: -2 + -8 = -10 30 + -6m = -10 + -1m Solving 30 + -6m = -10 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 30 + -6m + m = -10 + -1m + m Combine like terms: -6m + m = -5m 30 + -5m = -10 + -1m + m Combine like terms: -1m + m = 0 30 + -5m = -10 + 0 30 + -5m = -10 Add '-30' to each side of the equation. 30 + -30 + -5m = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -5m = -10 + -30 -5m = -10 + -30 Combine like terms: -10 + -30 = -40 -5m = -40 Divide each side by '-5'. m = 8 Simplifying m = 8
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