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Simplifying -0.4285(m + 9) = 3 + 6m Reorder the terms: -0.4285(9 + m) = 3 + 6m (9 * -0.4285 + m * -0.4285) = 3 + 6m (-3.8565 + -0.4285m) = 3 + 6m Solving -3.8565 + -0.4285m = 3 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -3.8565 + -0.4285m + -6m = 3 + 6m + -6m Combine like terms: -0.4285m + -6m = -6.4285m -3.8565 + -6.4285m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 -3.8565 + -6.4285m = 3 + 0 -3.8565 + -6.4285m = 3 Add '3.8565' to each side of the equation. -3.8565 + 3.8565 + -6.4285m = 3 + 3.8565 Combine like terms: -3.8565 + 3.8565 = 0.0000 0.0000 + -6.4285m = 3 + 3.8565 -6.4285m = 3 + 3.8565 Combine like terms: 3 + 3.8565 = 6.8565 -6.4285m = 6.8565 Divide each side by '-6.4285'. m = -1.066578518 Simplifying m = -1.066578518
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