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Simplifying 4(3 + -2b) + -5(-6b + -2) = 44 (3 * 4 + -2b * 4) + -5(-6b + -2) = 44 (12 + -8b) + -5(-6b + -2) = 44 Reorder the terms: 12 + -8b + -5(-2 + -6b) = 44 12 + -8b + (-2 * -5 + -6b * -5) = 44 12 + -8b + (10 + 30b) = 44 Reorder the terms: 12 + 10 + -8b + 30b = 44 Combine like terms: 12 + 10 = 22 22 + -8b + 30b = 44 Combine like terms: -8b + 30b = 22b 22 + 22b = 44 Solving 22 + 22b = 44 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 22b = 44 + -22 Combine like terms: 22 + -22 = 0 0 + 22b = 44 + -22 22b = 44 + -22 Combine like terms: 44 + -22 = 22 22b = 22 Divide each side by '22'. b = 1 Simplifying b = 1
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