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Simplifying 3m + 17 = 7m + 19 Reorder the terms: 17 + 3m = 7m + 19 Reorder the terms: 17 + 3m = 19 + 7m Solving 17 + 3m = 19 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 17 + 3m + -7m = 19 + 7m + -7m Combine like terms: 3m + -7m = -4m 17 + -4m = 19 + 7m + -7m Combine like terms: 7m + -7m = 0 17 + -4m = 19 + 0 17 + -4m = 19 Add '-17' to each side of the equation. 17 + -17 + -4m = 19 + -17 Combine like terms: 17 + -17 = 0 0 + -4m = 19 + -17 -4m = 19 + -17 Combine like terms: 19 + -17 = 2 -4m = 2 Divide each side by '-4'. m = -0.5 Simplifying m = -0.5
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