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Simplifying 6m + 30 = -2m + 12 Reorder the terms: 30 + 6m = -2m + 12 Reorder the terms: 30 + 6m = 12 + -2m Solving 30 + 6m = 12 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 30 + 6m + 2m = 12 + -2m + 2m Combine like terms: 6m + 2m = 8m 30 + 8m = 12 + -2m + 2m Combine like terms: -2m + 2m = 0 30 + 8m = 12 + 0 30 + 8m = 12 Add '-30' to each side of the equation. 30 + -30 + 8m = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 8m = 12 + -30 8m = 12 + -30 Combine like terms: 12 + -30 = -18 8m = -18 Divide each side by '8'. m = -2.25 Simplifying m = -2.25
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