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Simplifying 4(5b + 8) + -2 = -26 + 6b Reorder the terms: 4(8 + 5b) + -2 = -26 + 6b (8 * 4 + 5b * 4) + -2 = -26 + 6b (32 + 20b) + -2 = -26 + 6b Reorder the terms: 32 + -2 + 20b = -26 + 6b Combine like terms: 32 + -2 = 30 30 + 20b = -26 + 6b Solving 30 + 20b = -26 + 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. 30 + 20b + -6b = -26 + 6b + -6b Combine like terms: 20b + -6b = 14b 30 + 14b = -26 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + 14b = -26 + 0 30 + 14b = -26 Add '-30' to each side of the equation. 30 + -30 + 14b = -26 + -30 Combine like terms: 30 + -30 = 0 0 + 14b = -26 + -30 14b = -26 + -30 Combine like terms: -26 + -30 = -56 14b = -56 Divide each side by '14'. b = -4 Simplifying b = -4
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