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Simplifying m + 12n + 18 + -11n + 17 + -4m = 0 Reorder the terms: 18 + 17 + m + -4m + 12n + -11n = 0 Combine like terms: 18 + 17 = 35 35 + m + -4m + 12n + -11n = 0 Combine like terms: m + -4m = -3m 35 + -3m + 12n + -11n = 0 Combine like terms: 12n + -11n = 1n 35 + -3m + 1n = 0 Solving 35 + -3m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -3m + -35 + 1n = 0 + -35 Reorder the terms: 35 + -35 + -3m + 1n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -3m + 1n = 0 + -35 -3m + 1n = 0 + -35 Combine like terms: 0 + -35 = -35 -3m + 1n = -35 Add '-1n' to each side of the equation. -3m + 1n + -1n = -35 + -1n Combine like terms: 1n + -1n = 0 -3m + 0 = -35 + -1n -3m = -35 + -1n Divide each side by '-3'. m = 11.66666667 + 0.3333333333n Simplifying m = 11.66666667 + 0.3333333333n
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