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Simplifying 9(m + -11) + 4(m + 2) = 2(m + 2) + 6m Reorder the terms: 9(-11 + m) + 4(m + 2) = 2(m + 2) + 6m (-11 * 9 + m * 9) + 4(m + 2) = 2(m + 2) + 6m (-99 + 9m) + 4(m + 2) = 2(m + 2) + 6m Reorder the terms: -99 + 9m + 4(2 + m) = 2(m + 2) + 6m -99 + 9m + (2 * 4 + m * 4) = 2(m + 2) + 6m -99 + 9m + (8 + 4m) = 2(m + 2) + 6m Reorder the terms: -99 + 8 + 9m + 4m = 2(m + 2) + 6m Combine like terms: -99 + 8 = -91 -91 + 9m + 4m = 2(m + 2) + 6m Combine like terms: 9m + 4m = 13m -91 + 13m = 2(m + 2) + 6m Reorder the terms: -91 + 13m = 2(2 + m) + 6m -91 + 13m = (2 * 2 + m * 2) + 6m -91 + 13m = (4 + 2m) + 6m Combine like terms: 2m + 6m = 8m -91 + 13m = 4 + 8m Solving -91 + 13m = 4 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -91 + 13m + -8m = 4 + 8m + -8m Combine like terms: 13m + -8m = 5m -91 + 5m = 4 + 8m + -8m Combine like terms: 8m + -8m = 0 -91 + 5m = 4 + 0 -91 + 5m = 4 Add '91' to each side of the equation. -91 + 91 + 5m = 4 + 91 Combine like terms: -91 + 91 = 0 0 + 5m = 4 + 91 5m = 4 + 91 Combine like terms: 4 + 91 = 95 5m = 95 Divide each side by '5'. m = 19 Simplifying m = 19
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