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Simplifying 14 + -21m + 196 = 112 + -252 + -1m Reorder the terms: 14 + 196 + -21m = 112 + -252 + -1m Combine like terms: 14 + 196 = 210 210 + -21m = 112 + -252 + -1m Combine like terms: 112 + -252 = -140 210 + -21m = -140 + -1m Solving 210 + -21m = -140 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 210 + -21m + m = -140 + -1m + m Combine like terms: -21m + m = -20m 210 + -20m = -140 + -1m + m Combine like terms: -1m + m = 0 210 + -20m = -140 + 0 210 + -20m = -140 Add '-210' to each side of the equation. 210 + -210 + -20m = -140 + -210 Combine like terms: 210 + -210 = 0 0 + -20m = -140 + -210 -20m = -140 + -210 Combine like terms: -140 + -210 = -350 -20m = -350 Divide each side by '-20'. m = 17.5 Simplifying m = 17.5
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