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Simplifying 8 + -2(3m + -7) = -5m + 11m + 3 Reorder the terms: 8 + -2(-7 + 3m) = -5m + 11m + 3 8 + (-7 * -2 + 3m * -2) = -5m + 11m + 3 8 + (14 + -6m) = -5m + 11m + 3 Combine like terms: 8 + 14 = 22 22 + -6m = -5m + 11m + 3 Reorder the terms: 22 + -6m = 3 + -5m + 11m Combine like terms: -5m + 11m = 6m 22 + -6m = 3 + 6m Solving 22 + -6m = 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. 22 + -6m + -6m = 3 + 6m + -6m Combine like terms: -6m + -6m = -12m 22 + -12m = 3 + 6m + -6m Combine like terms: 6m + -6m = 0 22 + -12m = 3 + 0 22 + -12m = 3 Add '-22' to each side of the equation. 22 + -22 + -12m = 3 + -22 Combine like terms: 22 + -22 = 0 0 + -12m = 3 + -22 -12m = 3 + -22 Combine like terms: 3 + -22 = -19 -12m = -19 Divide each side by '-12'. m = 1.583333333 Simplifying m = 1.583333333
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