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Simplifying 35 + -22m + 6 + -18m = 14 + -30m + 32 Reorder the terms: 35 + 6 + -22m + -18m = 14 + -30m + 32 Combine like terms: 35 + 6 = 41 41 + -22m + -18m = 14 + -30m + 32 Combine like terms: -22m + -18m = -40m 41 + -40m = 14 + -30m + 32 Reorder the terms: 41 + -40m = 14 + 32 + -30m Combine like terms: 14 + 32 = 46 41 + -40m = 46 + -30m Solving 41 + -40m = 46 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. 41 + -40m + 30m = 46 + -30m + 30m Combine like terms: -40m + 30m = -10m 41 + -10m = 46 + -30m + 30m Combine like terms: -30m + 30m = 0 41 + -10m = 46 + 0 41 + -10m = 46 Add '-41' to each side of the equation. 41 + -41 + -10m = 46 + -41 Combine like terms: 41 + -41 = 0 0 + -10m = 46 + -41 -10m = 46 + -41 Combine like terms: 46 + -41 = 5 -10m = 5 Divide each side by '-10'. m = -0.5 Simplifying m = -0.5
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