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Simplifying 6m + 14 = -2(m + -30) Reorder the terms: 14 + 6m = -2(m + -30) Reorder the terms: 14 + 6m = -2(-30 + m) 14 + 6m = (-30 * -2 + m * -2) 14 + 6m = (60 + -2m) Solving 14 + 6m = 60 + -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. 14 + 6m + 2m = 60 + -2m + 2m Combine like terms: 6m + 2m = 8m 14 + 8m = 60 + -2m + 2m Combine like terms: -2m + 2m = 0 14 + 8m = 60 + 0 14 + 8m = 60 Add '-14' to each side of the equation. 14 + -14 + 8m = 60 + -14 Combine like terms: 14 + -14 = 0 0 + 8m = 60 + -14 8m = 60 + -14 Combine like terms: 60 + -14 = 46 8m = 46 Divide each side by '8'. m = 5.75 Simplifying m = 5.75
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