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Simplifying 3(5b + 4) = 4b + 34 Reorder the terms: 3(4 + 5b) = 4b + 34 (4 * 3 + 5b * 3) = 4b + 34 (12 + 15b) = 4b + 34 Reorder the terms: 12 + 15b = 34 + 4b Solving 12 + 15b = 34 + 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. 12 + 15b + -4b = 34 + 4b + -4b Combine like terms: 15b + -4b = 11b 12 + 11b = 34 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + 11b = 34 + 0 12 + 11b = 34 Add '-12' to each side of the equation. 12 + -12 + 11b = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11b = 34 + -12 11b = 34 + -12 Combine like terms: 34 + -12 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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