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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 = -9b 34 + -9b = -2 + 14b + -14b Combine like terms: 14b + -14b = 0 34 + -9b = -2 + 0 34 + -9b = -2 Add '-34' to each side of the equation. 34 + -34 + -9b = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9b = -2 + -34 -9b = -2 + -34 Combine like terms: -2 + -34 = -36 -9b = -36 Divide each side by '-9'. b = 4 Simplifying b = 4
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