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Simplifying -6(3m + -4) + 22 = 11m Reorder the terms: -6(-4 + 3m) + 22 = 11m (-4 * -6 + 3m * -6) + 22 = 11m (24 + -18m) + 22 = 11m Reorder the terms: 24 + 22 + -18m = 11m Combine like terms: 24 + 22 = 46 46 + -18m = 11m Solving 46 + -18m = 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 46 + -18m + -11m = 11m + -11m Combine like terms: -18m + -11m = -29m 46 + -29m = 11m + -11m Combine like terms: 11m + -11m = 0 46 + -29m = 0 Add '-46' to each side of the equation. 46 + -46 + -29m = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -29m = 0 + -46 -29m = 0 + -46 Combine like terms: 0 + -46 = -46 -29m = -46 Divide each side by '-29'. m = 1.586206897 Simplifying m = 1.586206897
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