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Simplifying 42 = 8m + b Reorder the terms: 42 = b + 8m Solving 42 = b + 8m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 42 + -1b = b + -1b + 8m Combine like terms: b + -1b = 0 42 + -1b = 0 + 8m 42 + -1b = 8m Add '-42' to each side of the equation. 42 + -42 + -1b = -42 + 8m Combine like terms: 42 + -42 = 0 0 + -1b = -42 + 8m -1b = -42 + 8m Divide each side by '-1'. b = 42 + -8m Simplifying b = 42 + -8m
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