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Simplifying 2(6b + 1) = -22 + 4b Reorder the terms: 2(1 + 6b) = -22 + 4b (1 * 2 + 6b * 2) = -22 + 4b (2 + 12b) = -22 + 4b Solving 2 + 12b = -22 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 2 + 12b + -4b = -22 + 4b + -4b Combine like terms: 12b + -4b = 8b 2 + 8b = -22 + 4b + -4b Combine like terms: 4b + -4b = 0 2 + 8b = -22 + 0 2 + 8b = -22 Add '-2' to each side of the equation. 2 + -2 + 8b = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 8b = -22 + -2 8b = -22 + -2 Combine like terms: -22 + -2 = -24 8b = -24 Divide each side by '8'. b = -3 Simplifying b = -3
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