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Simplifying 34 + 8b = 3(5b + -9) Reorder the terms: 34 + 8b = 3(-9 + 5b) 34 + 8b = (-9 * 3 + 5b * 3) 34 + 8b = (-27 + 15b) Solving 34 + 8b = -27 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 34 + 8b + -15b = -27 + 15b + -15b Combine like terms: 8b + -15b = -7b 34 + -7b = -27 + 15b + -15b Combine like terms: 15b + -15b = 0 34 + -7b = -27 + 0 34 + -7b = -27 Add '-34' to each side of the equation. 34 + -34 + -7b = -27 + -34 Combine like terms: 34 + -34 = 0 0 + -7b = -27 + -34 -7b = -27 + -34 Combine like terms: -27 + -34 = -61 -7b = -61 Divide each side by '-7'. b = 8.714285714 Simplifying b = 8.714285714
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