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Simplifying 34 + -4m = 5m + 4(m + 7) Reorder the terms: 34 + -4m = 5m + 4(7 + m) 34 + -4m = 5m + (7 * 4 + m * 4) 34 + -4m = 5m + (28 + 4m) Reorder the terms: 34 + -4m = 28 + 5m + 4m Combine like terms: 5m + 4m = 9m 34 + -4m = 28 + 9m Solving 34 + -4m = 28 + 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. 34 + -4m + -9m = 28 + 9m + -9m Combine like terms: -4m + -9m = -13m 34 + -13m = 28 + 9m + -9m Combine like terms: 9m + -9m = 0 34 + -13m = 28 + 0 34 + -13m = 28 Add '-34' to each side of the equation. 34 + -34 + -13m = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -13m = 28 + -34 -13m = 28 + -34 Combine like terms: 28 + -34 = -6 -13m = -6 Divide each side by '-13'. m = 0.4615384615 Simplifying m = 0.4615384615
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