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Simplifying 5(b + 7) = 30 + 4b Reorder the terms: 5(7 + b) = 30 + 4b (7 * 5 + b * 5) = 30 + 4b (35 + 5b) = 30 + 4b Solving 35 + 5b = 30 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 35 + 5b + -4b = 30 + 4b + -4b Combine like terms: 5b + -4b = 1b 35 + 1b = 30 + 4b + -4b Combine like terms: 4b + -4b = 0 35 + 1b = 30 + 0 35 + 1b = 30 Add '-35' to each side of the equation. 35 + -35 + 1b = 30 + -35 Combine like terms: 35 + -35 = 0 0 + 1b = 30 + -35 1b = 30 + -35 Combine like terms: 30 + -35 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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