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Simplifying m + 6 + -2m + 3m = 4m + -24 + 16 Reorder the terms: 6 + m + -2m + 3m = 4m + -24 + 16 Combine like terms: m + -2m = -1m 6 + -1m + 3m = 4m + -24 + 16 Combine like terms: -1m + 3m = 2m 6 + 2m = 4m + -24 + 16 Reorder the terms: 6 + 2m = -24 + 16 + 4m Combine like terms: -24 + 16 = -8 6 + 2m = -8 + 4m Solving 6 + 2m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 6 + 2m + -4m = -8 + 4m + -4m Combine like terms: 2m + -4m = -2m 6 + -2m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + -2m = -8 + 0 6 + -2m = -8 Add '-6' to each side of the equation. 6 + -6 + -2m = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2m = -8 + -6 -2m = -8 + -6 Combine like terms: -8 + -6 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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