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Simplifying -2(6b + 1) = 34 + -6b Reorder the terms: -2(1 + 6b) = 34 + -6b (1 * -2 + 6b * -2) = 34 + -6b (-2 + -12b) = 34 + -6b Solving -2 + -12b = 34 + -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. -2 + -12b + 6b = 34 + -6b + 6b Combine like terms: -12b + 6b = -6b -2 + -6b = 34 + -6b + 6b Combine like terms: -6b + 6b = 0 -2 + -6b = 34 + 0 -2 + -6b = 34 Add '2' to each side of the equation. -2 + 2 + -6b = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -6b = 34 + 2 -6b = 34 + 2 Combine like terms: 34 + 2 = 36 -6b = 36 Divide each side by '-6'. b = -6 Simplifying b = -6
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