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Simplifying -9 + 2m + 3 = 4m + -12 + 5.5 Reorder the terms: -9 + 3 + 2m = 4m + -12 + 5.5 Combine like terms: -9 + 3 = -6 -6 + 2m = 4m + -12 + 5.5 Reorder the terms: -6 + 2m = -12 + 5.5 + 4m Combine like terms: -12 + 5.5 = -6.5 -6 + 2m = -6.5 + 4m Solving -6 + 2m = -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. -6 + 2m + -4m = -6.5 + 4m + -4m Combine like terms: 2m + -4m = -2m -6 + -2m = -6.5 + 4m + -4m Combine like terms: 4m + -4m = 0 -6 + -2m = -6.5 + 0 -6 + -2m = -6.5 Add '6' to each side of the equation. -6 + 6 + -2m = -6.5 + 6 Combine like terms: -6 + 6 = 0 0 + -2m = -6.5 + 6 -2m = -6.5 + 6 Combine like terms: -6.5 + 6 = -0.5 -2m = -0.5 Divide each side by '-2'. m = 0.25 Simplifying m = 0.25
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