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Simplifying -55.24 = -7.4(3.9m + -1.9) + -0.6(3 + -3.1m) Reorder the terms: -55.24 = -7.4(-1.9 + 3.9m) + -0.6(3 + -3.1m) -55.24 = (-1.9 * -7.4 + 3.9m * -7.4) + -0.6(3 + -3.1m) -55.24 = (14.06 + -28.86m) + -0.6(3 + -3.1m) -55.24 = 14.06 + -28.86m + (3 * -0.6 + -3.1m * -0.6) -55.24 = 14.06 + -28.86m + (-1.8 + 1.86m) Reorder the terms: -55.24 = 14.06 + -1.8 + -28.86m + 1.86m Combine like terms: 14.06 + -1.8 = 12.26 -55.24 = 12.26 + -28.86m + 1.86m Combine like terms: -28.86m + 1.86m = -27m -55.24 = 12.26 + -27m Solving -55.24 = 12.26 + -27m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '27m' to each side of the equation. -55.24 + 27m = 12.26 + -27m + 27m Combine like terms: -27m + 27m = 0 -55.24 + 27m = 12.26 + 0 -55.24 + 27m = 12.26 Add '55.24' to each side of the equation. -55.24 + 55.24 + 27m = 12.26 + 55.24 Combine like terms: -55.24 + 55.24 = 0.00 0.00 + 27m = 12.26 + 55.24 27m = 12.26 + 55.24 Combine like terms: 12.26 + 55.24 = 67.5 27m = 67.5 Divide each side by '27'. m = 2.5 Simplifying m = 2.5
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