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Simplifying 4(7b + 6) + -1(5b + 3) = 21 Reorder the terms: 4(6 + 7b) + -1(5b + 3) = 21 (6 * 4 + 7b * 4) + -1(5b + 3) = 21 (24 + 28b) + -1(5b + 3) = 21 Reorder the terms: 24 + 28b + -1(3 + 5b) = 21 24 + 28b + (3 * -1 + 5b * -1) = 21 24 + 28b + (-3 + -5b) = 21 Reorder the terms: 24 + -3 + 28b + -5b = 21 Combine like terms: 24 + -3 = 21 21 + 28b + -5b = 21 Combine like terms: 28b + -5b = 23b 21 + 23b = 21 Add '-21' to each side of the equation. 21 + -21 + 23b = 21 + -21 Combine like terms: 21 + -21 = 0 0 + 23b = 21 + -21 23b = 21 + -21 Combine like terms: 21 + -21 = 0 23b = 0 Solving 23b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '23'. b = 0 Simplifying b = 0
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