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Simplifying 2 + -4.5 + m + 3 = 4m + -12 + 5.5 Reorder the terms: 2 + -4.5 + 3 + m = 4m + -12 + 5.5 Combine like terms: 2 + -4.5 = -2.5 -2.5 + 3 + m = 4m + -12 + 5.5 Combine like terms: -2.5 + 3 = 0.5 0.5 + m = 4m + -12 + 5.5 Reorder the terms: 0.5 + m = -12 + 5.5 + 4m Combine like terms: -12 + 5.5 = -6.5 0.5 + m = -6.5 + 4m Solving 0.5 + m = -6.5 + 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. 0.5 + m + -4m = -6.5 + 4m + -4m Combine like terms: m + -4m = -3m 0.5 + -3m = -6.5 + 4m + -4m Combine like terms: 4m + -4m = 0 0.5 + -3m = -6.5 + 0 0.5 + -3m = -6.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -3m = -6.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -3m = -6.5 + -0.5 -3m = -6.5 + -0.5 Combine like terms: -6.5 + -0.5 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333
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