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Simplifying 5 + -11m + 13 + -6m = m + -23 + -4 + -9m Reorder the terms: 5 + 13 + -11m + -6m = m + -23 + -4 + -9m Combine like terms: 5 + 13 = 18 18 + -11m + -6m = m + -23 + -4 + -9m Combine like terms: -11m + -6m = -17m 18 + -17m = m + -23 + -4 + -9m Reorder the terms: 18 + -17m = -23 + -4 + m + -9m Combine like terms: -23 + -4 = -27 18 + -17m = -27 + m + -9m Combine like terms: m + -9m = -8m 18 + -17m = -27 + -8m Solving 18 + -17m = -27 + -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. 18 + -17m + 8m = -27 + -8m + 8m Combine like terms: -17m + 8m = -9m 18 + -9m = -27 + -8m + 8m Combine like terms: -8m + 8m = 0 18 + -9m = -27 + 0 18 + -9m = -27 Add '-18' to each side of the equation. 18 + -18 + -9m = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -9m = -27 + -18 -9m = -27 + -18 Combine like terms: -27 + -18 = -45 -9m = -45 Divide each side by '-9'. m = 5 Simplifying m = 5
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