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Simplifying 14 + -21m + 196 = 112m + -252 + -1m Reorder the terms: 14 + 196 + -21m = 112m + -252 + -1m Combine like terms: 14 + 196 = 210 210 + -21m = 112m + -252 + -1m Reorder the terms: 210 + -21m = -252 + 112m + -1m Combine like terms: 112m + -1m = 111m 210 + -21m = -252 + 111m Solving 210 + -21m = -252 + 111m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-111m' to each side of the equation. 210 + -21m + -111m = -252 + 111m + -111m Combine like terms: -21m + -111m = -132m 210 + -132m = -252 + 111m + -111m Combine like terms: 111m + -111m = 0 210 + -132m = -252 + 0 210 + -132m = -252 Add '-210' to each side of the equation. 210 + -210 + -132m = -252 + -210 Combine like terms: 210 + -210 = 0 0 + -132m = -252 + -210 -132m = -252 + -210 Combine like terms: -252 + -210 = -462 -132m = -462 Divide each side by '-132'. m = 3.5 Simplifying m = 3.5
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