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Simplifying 12m + -8 + -16 = 16m + -8m + -16 Reorder the terms: -8 + -16 + 12m = 16m + -8m + -16 Combine like terms: -8 + -16 = -24 -24 + 12m = 16m + -8m + -16 Reorder the terms: -24 + 12m = -16 + 16m + -8m Combine like terms: 16m + -8m = 8m -24 + 12m = -16 + 8m Solving -24 + 12m = -16 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -24 + 12m + -8m = -16 + 8m + -8m Combine like terms: 12m + -8m = 4m -24 + 4m = -16 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + 4m = -16 + 0 -24 + 4m = -16 Add '24' to each side of the equation. -24 + 24 + 4m = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 4m = -16 + 24 4m = -16 + 24 Combine like terms: -16 + 24 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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