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Simplifying 8 + 10m + -5 = 7m + 19 + -5m Reorder the terms: 8 + -5 + 10m = 7m + 19 + -5m Combine like terms: 8 + -5 = 3 3 + 10m = 7m + 19 + -5m Reorder the terms: 3 + 10m = 19 + 7m + -5m Combine like terms: 7m + -5m = 2m 3 + 10m = 19 + 2m Solving 3 + 10m = 19 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 3 + 10m + -2m = 19 + 2m + -2m Combine like terms: 10m + -2m = 8m 3 + 8m = 19 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 8m = 19 + 0 3 + 8m = 19 Add '-3' to each side of the equation. 3 + -3 + 8m = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 19 + -3 8m = 19 + -3 Combine like terms: 19 + -3 = 16 8m = 16 Divide each side by '8'. m = 2 Simplifying m = 2
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