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Simplifying -7m + 4.2 = 9m + -43.8 Reorder the terms: 4.2 + -7m = 9m + -43.8 Reorder the terms: 4.2 + -7m = -43.8 + 9m Solving 4.2 + -7m = -43.8 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 4.2 + -7m + -9m = -43.8 + 9m + -9m Combine like terms: -7m + -9m = -16m 4.2 + -16m = -43.8 + 9m + -9m Combine like terms: 9m + -9m = 0 4.2 + -16m = -43.8 + 0 4.2 + -16m = -43.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -16m = -43.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -16m = -43.8 + -4.2 -16m = -43.8 + -4.2 Combine like terms: -43.8 + -4.2 = -48 -16m = -48 Divide each side by '-16'. m = 3 Simplifying m = 3
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