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Simplifying (0.79m + 0.227) = -1(2.09m + 0.838) Reorder the terms: (0.227 + 0.79m) = -1(2.09m + 0.838) Remove parenthesis around (0.227 + 0.79m) 0.227 + 0.79m = -1(2.09m + 0.838) Reorder the terms: 0.227 + 0.79m = -1(0.838 + 2.09m) 0.227 + 0.79m = (0.838 * -1 + 2.09m * -1) 0.227 + 0.79m = (-0.838 + -2.09m) Solving 0.227 + 0.79m = -0.838 + -2.09m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2.09m' to each side of the equation. 0.227 + 0.79m + 2.09m = -0.838 + -2.09m + 2.09m Combine like terms: 0.79m + 2.09m = 2.88m 0.227 + 2.88m = -0.838 + -2.09m + 2.09m Combine like terms: -2.09m + 2.09m = 0.00 0.227 + 2.88m = -0.838 + 0.00 0.227 + 2.88m = -0.838 Add '-0.227' to each side of the equation. 0.227 + -0.227 + 2.88m = -0.838 + -0.227 Combine like terms: 0.227 + -0.227 = 0.000 0.000 + 2.88m = -0.838 + -0.227 2.88m = -0.838 + -0.227 Combine like terms: -0.838 + -0.227 = -1.065 2.88m = -1.065 Divide each side by '2.88'. m = -0.3697916667 Simplifying m = -0.3697916667
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