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Simplifying 5b + 34 = 2(1 + -7b) Reorder the terms: 34 + 5b = 2(1 + -7b) 34 + 5b = (1 * 2 + -7b * 2) 34 + 5b = (2 + -14b) Solving 34 + 5b = 2 + -14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14b' to each side of the equation. 34 + 5b + 14b = 2 + -14b + 14b Combine like terms: 5b + 14b = 19b 34 + 19b = 2 + -14b + 14b Combine like terms: -14b + 14b = 0 34 + 19b = 2 + 0 34 + 19b = 2 Add '-34' to each side of the equation. 34 + -34 + 19b = 2 + -34 Combine like terms: 34 + -34 = 0 0 + 19b = 2 + -34 19b = 2 + -34 Combine like terms: 2 + -34 = -32 19b = -32 Divide each side by '19'. b = -1.684210526 Simplifying b = -1.684210526
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