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Simplifying 11m + 8 + 7m = 42 + -6m + 14 Reorder the terms: 8 + 11m + 7m = 42 + -6m + 14 Combine like terms: 11m + 7m = 18m 8 + 18m = 42 + -6m + 14 Reorder the terms: 8 + 18m = 42 + 14 + -6m Combine like terms: 42 + 14 = 56 8 + 18m = 56 + -6m Solving 8 + 18m = 56 + -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. 8 + 18m + 6m = 56 + -6m + 6m Combine like terms: 18m + 6m = 24m 8 + 24m = 56 + -6m + 6m Combine like terms: -6m + 6m = 0 8 + 24m = 56 + 0 8 + 24m = 56 Add '-8' to each side of the equation. 8 + -8 + 24m = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 24m = 56 + -8 24m = 56 + -8 Combine like terms: 56 + -8 = 48 24m = 48 Divide each side by '24'. m = 2 Simplifying m = 2
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