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Simplifying 5m + -31 + -1b + 5 = 10m + 12 Reorder the terms: -31 + 5 + -1b + 5m = 10m + 12 Combine like terms: -31 + 5 = -26 -26 + -1b + 5m = 10m + 12 Reorder the terms: -26 + -1b + 5m = 12 + 10m Solving -26 + -1b + 5m = 12 + 10m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26' to each side of the equation. -26 + -1b + 26 + 5m = 12 + 26 + 10m Reorder the terms: -26 + 26 + -1b + 5m = 12 + 26 + 10m Combine like terms: -26 + 26 = 0 0 + -1b + 5m = 12 + 26 + 10m -1b + 5m = 12 + 26 + 10m Combine like terms: 12 + 26 = 38 -1b + 5m = 38 + 10m Add '-5m' to each side of the equation. -1b + 5m + -5m = 38 + 10m + -5m Combine like terms: 5m + -5m = 0 -1b + 0 = 38 + 10m + -5m -1b = 38 + 10m + -5m Combine like terms: 10m + -5m = 5m -1b = 38 + 5m Divide each side by '-1'. b = -38 + -5m Simplifying b = -38 + -5m
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