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Simplifying 3m + -17 = 7m + -9 Reorder the terms: -17 + 3m = 7m + -9 Reorder the terms: -17 + 3m = -9 + 7m Solving -17 + 3m = -9 + 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 = -9 + 7m + -7m Combine like terms: 3m + -7m = -4m -17 + -4m = -9 + 7m + -7m Combine like terms: 7m + -7m = 0 -17 + -4m = -9 + 0 -17 + -4m = -9 Add '17' to each side of the equation. -17 + 17 + -4m = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -4m = -9 + 17 -4m = -9 + 17 Combine like terms: -9 + 17 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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