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Simplifying 22 = -5(6b + -2) + 4(b + 3) Reorder the terms: 22 = -5(-2 + 6b) + 4(b + 3) 22 = (-2 * -5 + 6b * -5) + 4(b + 3) 22 = (10 + -30b) + 4(b + 3) Reorder the terms: 22 = 10 + -30b + 4(3 + b) 22 = 10 + -30b + (3 * 4 + b * 4) 22 = 10 + -30b + (12 + 4b) Reorder the terms: 22 = 10 + 12 + -30b + 4b Combine like terms: 10 + 12 = 22 22 = 22 + -30b + 4b Combine like terms: -30b + 4b = -26b 22 = 22 + -26b Add '-22' to each side of the equation. 22 + -22 = 22 + -22 + -26b Combine like terms: 22 + -22 = 0 0 = 22 + -22 + -26b Combine like terms: 22 + -22 = 0 0 = 0 + -26b 0 = -26b Solving 0 = -26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26b' to each side of the equation. 0 + 26b = -26b + 26b Remove the zero: 26b = -26b + 26b Combine like terms: -26b + 26b = 0 26b = 0 Divide each side by '26'. b = 0 Simplifying b = 0
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