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Simplifying -6(m + 8) + 6(3m + 8) = 11(m + 1) + -5 Reorder the terms: -6(8 + m) + 6(3m + 8) = 11(m + 1) + -5 (8 * -6 + m * -6) + 6(3m + 8) = 11(m + 1) + -5 (-48 + -6m) + 6(3m + 8) = 11(m + 1) + -5 Reorder the terms: -48 + -6m + 6(8 + 3m) = 11(m + 1) + -5 -48 + -6m + (8 * 6 + 3m * 6) = 11(m + 1) + -5 -48 + -6m + (48 + 18m) = 11(m + 1) + -5 Reorder the terms: -48 + 48 + -6m + 18m = 11(m + 1) + -5 Combine like terms: -48 + 48 = 0 0 + -6m + 18m = 11(m + 1) + -5 -6m + 18m = 11(m + 1) + -5 Combine like terms: -6m + 18m = 12m 12m = 11(m + 1) + -5 Reorder the terms: 12m = 11(1 + m) + -5 12m = (1 * 11 + m * 11) + -5 12m = (11 + 11m) + -5 Reorder the terms: 12m = 11 + -5 + 11m Combine like terms: 11 + -5 = 6 12m = 6 + 11m Solving 12m = 6 + 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. 12m + -11m = 6 + 11m + -11m Combine like terms: 12m + -11m = 1m 1m = 6 + 11m + -11m Combine like terms: 11m + -11m = 0 1m = 6 + 0 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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