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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 = -1m 34 + -4m = 28 + -1m Solving 34 + -4m = 28 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 34 + -4m + m = 28 + -1m + m Combine like terms: -4m + m = -3m 34 + -3m = 28 + -1m + m Combine like terms: -1m + m = 0 34 + -3m = 28 + 0 34 + -3m = 28 Add '-34' to each side of the equation. 34 + -34 + -3m = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -3m = 28 + -34 -3m = 28 + -34 Combine like terms: 28 + -34 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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