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Simplifying 34 + b = -6(1 + -1b) 34 + b = (1 * -6 + -1b * -6) 34 + b = (-6 + 6b) Solving 34 + b = -6 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 34 + b + -6b = -6 + 6b + -6b Combine like terms: b + -6b = -5b 34 + -5b = -6 + 6b + -6b Combine like terms: 6b + -6b = 0 34 + -5b = -6 + 0 34 + -5b = -6 Add '-34' to each side of the equation. 34 + -34 + -5b = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -5b = -6 + -34 -5b = -6 + -34 Combine like terms: -6 + -34 = -40 -5b = -40 Divide each side by '-5'. b = 8 Simplifying b = 8
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