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Simplifying 7.8m + -59 = 5.4m + -37.4 Reorder the terms: -59 + 7.8m = 5.4m + -37.4 Reorder the terms: -59 + 7.8m = -37.4 + 5.4m Solving -59 + 7.8m = -37.4 + 5.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.4m' to each side of the equation. -59 + 7.8m + -5.4m = -37.4 + 5.4m + -5.4m Combine like terms: 7.8m + -5.4m = 2.4m -59 + 2.4m = -37.4 + 5.4m + -5.4m Combine like terms: 5.4m + -5.4m = 0.0 -59 + 2.4m = -37.4 + 0.0 -59 + 2.4m = -37.4 Add '59' to each side of the equation. -59 + 59 + 2.4m = -37.4 + 59 Combine like terms: -59 + 59 = 0 0 + 2.4m = -37.4 + 59 2.4m = -37.4 + 59 Combine like terms: -37.4 + 59 = 21.6 2.4m = 21.6 Divide each side by '2.4'. m = 9 Simplifying m = 9
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