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Simplifying 8 + 2m = 4m + -6m + -16 Reorder the terms: 8 + 2m = -16 + 4m + -6m Combine like terms: 4m + -6m = -2m 8 + 2m = -16 + -2m Solving 8 + 2m = -16 + -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. 8 + 2m + 2m = -16 + -2m + 2m Combine like terms: 2m + 2m = 4m 8 + 4m = -16 + -2m + 2m Combine like terms: -2m + 2m = 0 8 + 4m = -16 + 0 8 + 4m = -16 Add '-8' to each side of the equation. 8 + -8 + 4m = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = -16 + -8 4m = -16 + -8 Combine like terms: -16 + -8 = -24 4m = -24 Divide each side by '4'. m = -6 Simplifying m = -6
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