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Simplifying 1.4(5m + -6) + -0.8(2 + -3m) = 0 Reorder the terms: 1.4(-6 + 5m) + -0.8(2 + -3m) = 0 (-6 * 1.4 + 5m * 1.4) + -0.8(2 + -3m) = 0 (-8.4 + 7m) + -0.8(2 + -3m) = 0 -8.4 + 7m + (2 * -0.8 + -3m * -0.8) = 0 -8.4 + 7m + (-1.6 + 2.4m) = 0 Reorder the terms: -8.4 + -1.6 + 7m + 2.4m = 0 Combine like terms: -8.4 + -1.6 = -10 -10 + 7m + 2.4m = 0 Combine like terms: 7m + 2.4m = 9.4m -10 + 9.4m = 0 Solving -10 + 9.4m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 9.4m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9.4m = 0 + 10 9.4m = 0 + 10 Combine like terms: 0 + 10 = 10 9.4m = 10 Divide each side by '9.4'. m = 1.063829787 Simplifying m = 1.063829787
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