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Simplifying 39 + 4b = 6(1 + 7b) + -5b 39 + 4b = (1 * 6 + 7b * 6) + -5b 39 + 4b = (6 + 42b) + -5b Combine like terms: 42b + -5b = 37b 39 + 4b = 6 + 37b Solving 39 + 4b = 6 + 37b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-37b' to each side of the equation. 39 + 4b + -37b = 6 + 37b + -37b Combine like terms: 4b + -37b = -33b 39 + -33b = 6 + 37b + -37b Combine like terms: 37b + -37b = 0 39 + -33b = 6 + 0 39 + -33b = 6 Add '-39' to each side of the equation. 39 + -39 + -33b = 6 + -39 Combine like terms: 39 + -39 = 0 0 + -33b = 6 + -39 -33b = 6 + -39 Combine like terms: 6 + -39 = -33 -33b = -33 Divide each side by '-33'. b = 1 Simplifying b = 1
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