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Simplifying 5 + 3m + -1 = 8m + 22 + -3m Reorder the terms: 5 + -1 + 3m = 8m + 22 + -3m Combine like terms: 5 + -1 = 4 4 + 3m = 8m + 22 + -3m Reorder the terms: 4 + 3m = 22 + 8m + -3m Combine like terms: 8m + -3m = 5m 4 + 3m = 22 + 5m Solving 4 + 3m = 22 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 4 + 3m + -5m = 22 + 5m + -5m Combine like terms: 3m + -5m = -2m 4 + -2m = 22 + 5m + -5m Combine like terms: 5m + -5m = 0 4 + -2m = 22 + 0 4 + -2m = 22 Add '-4' to each side of the equation. 4 + -4 + -2m = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = 22 + -4 -2m = 22 + -4 Combine like terms: 22 + -4 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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