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Simplifying 0.166(m + -4) = 0.66(m + 1) + -0.33m Reorder the terms: 0.166(-4 + m) = 0.66(m + 1) + -0.33m (-4 * 0.166 + m * 0.166) = 0.66(m + 1) + -0.33m (-0.664 + 0.166m) = 0.66(m + 1) + -0.33m Reorder the terms: -0.664 + 0.166m = 0.66(1 + m) + -0.33m -0.664 + 0.166m = (1 * 0.66 + m * 0.66) + -0.33m -0.664 + 0.166m = (0.66 + 0.66m) + -0.33m Combine like terms: 0.66m + -0.33m = 0.33m -0.664 + 0.166m = 0.66 + 0.33m Solving -0.664 + 0.166m = 0.66 + 0.33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.33m' to each side of the equation. -0.664 + 0.166m + -0.33m = 0.66 + 0.33m + -0.33m Combine like terms: 0.166m + -0.33m = -0.164m -0.664 + -0.164m = 0.66 + 0.33m + -0.33m Combine like terms: 0.33m + -0.33m = 0.00 -0.664 + -0.164m = 0.66 + 0.00 -0.664 + -0.164m = 0.66 Add '0.664' to each side of the equation. -0.664 + 0.664 + -0.164m = 0.66 + 0.664 Combine like terms: -0.664 + 0.664 = 0.000 0.000 + -0.164m = 0.66 + 0.664 -0.164m = 0.66 + 0.664 Combine like terms: 0.66 + 0.664 = 1.324 -0.164m = 1.324 Divide each side by '-0.164'. m = -8.073170732 Simplifying m = -8.073170732
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