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Simplifying 4(b + 5) = 3b + 35 Reorder the terms: 4(5 + b) = 3b + 35 (5 * 4 + b * 4) = 3b + 35 (20 + 4b) = 3b + 35 Reorder the terms: 20 + 4b = 35 + 3b Solving 20 + 4b = 35 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 20 + 4b + -3b = 35 + 3b + -3b Combine like terms: 4b + -3b = 1b 20 + 1b = 35 + 3b + -3b Combine like terms: 3b + -3b = 0 20 + 1b = 35 + 0 20 + 1b = 35 Add '-20' to each side of the equation. 20 + -20 + 1b = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 1b = 35 + -20 1b = 35 + -20 Combine like terms: 35 + -20 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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