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Simplifying -31.06 + -4.9m = 5.5(m + 7.4) Reorder the terms: -31.06 + -4.9m = 5.5(7.4 + m) -31.06 + -4.9m = (7.4 * 5.5 + m * 5.5) -31.06 + -4.9m = (40.7 + 5.5m) Solving -31.06 + -4.9m = 40.7 + 5.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.5m' to each side of the equation. -31.06 + -4.9m + -5.5m = 40.7 + 5.5m + -5.5m Combine like terms: -4.9m + -5.5m = -10.4m -31.06 + -10.4m = 40.7 + 5.5m + -5.5m Combine like terms: 5.5m + -5.5m = 0.0 -31.06 + -10.4m = 40.7 + 0.0 -31.06 + -10.4m = 40.7 Add '31.06' to each side of the equation. -31.06 + 31.06 + -10.4m = 40.7 + 31.06 Combine like terms: -31.06 + 31.06 = 0.00 0.00 + -10.4m = 40.7 + 31.06 -10.4m = 40.7 + 31.06 Combine like terms: 40.7 + 31.06 = 71.76 -10.4m = 71.76 Divide each side by '-10.4'. m = -6.9 Simplifying m = -6.9
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