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Simplifying 11(2b + 2) = 6(b + 2) Reorder the terms: 11(2 + 2b) = 6(b + 2) (2 * 11 + 2b * 11) = 6(b + 2) (22 + 22b) = 6(b + 2) Reorder the terms: 22 + 22b = 6(2 + b) 22 + 22b = (2 * 6 + b * 6) 22 + 22b = (12 + 6b) Solving 22 + 22b = 12 + 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. 22 + 22b + -6b = 12 + 6b + -6b Combine like terms: 22b + -6b = 16b 22 + 16b = 12 + 6b + -6b Combine like terms: 6b + -6b = 0 22 + 16b = 12 + 0 22 + 16b = 12 Add '-22' to each side of the equation. 22 + -22 + 16b = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 16b = 12 + -22 16b = 12 + -22 Combine like terms: 12 + -22 = -10 16b = -10 Divide each side by '16'. b = -0.625 Simplifying b = -0.625
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