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Simplifying 2(7m + -4) = -9 + 11(m + 2) Reorder the terms: 2(-4 + 7m) = -9 + 11(m + 2) (-4 * 2 + 7m * 2) = -9 + 11(m + 2) (-8 + 14m) = -9 + 11(m + 2) Reorder the terms: -8 + 14m = -9 + 11(2 + m) -8 + 14m = -9 + (2 * 11 + m * 11) -8 + 14m = -9 + (22 + 11m) Combine like terms: -9 + 22 = 13 -8 + 14m = 13 + 11m Solving -8 + 14m = 13 + 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. -8 + 14m + -11m = 13 + 11m + -11m Combine like terms: 14m + -11m = 3m -8 + 3m = 13 + 11m + -11m Combine like terms: 11m + -11m = 0 -8 + 3m = 13 + 0 -8 + 3m = 13 Add '8' to each side of the equation. -8 + 8 + 3m = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = 13 + 8 3m = 13 + 8 Combine like terms: 13 + 8 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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