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Simplifying 5(b + 7) = 6b Reorder the terms: 5(7 + b) = 6b (7 * 5 + b * 5) = 6b (35 + 5b) = 6b Solving 35 + 5b = 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 35 + 5b + -6b = 6b + -6b Combine like terms: 5b + -6b = -1b 35 + -1b = 6b + -6b Combine like terms: 6b + -6b = 0 35 + -1b = 0 Add '-35' to each side of the equation. 35 + -35 + -1b = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1b = 0 + -35 -1b = 0 + -35 Combine like terms: 0 + -35 = -35 -1b = -35 Divide each side by '-1'. b = 35 Simplifying b = 35
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