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Simplifying 4b + -3(2b + -6) = 3 + -1(5b + 9) Reorder the terms: 4b + -3(-6 + 2b) = 3 + -1(5b + 9) 4b + (-6 * -3 + 2b * -3) = 3 + -1(5b + 9) 4b + (18 + -6b) = 3 + -1(5b + 9) Reorder the terms: 18 + 4b + -6b = 3 + -1(5b + 9) Combine like terms: 4b + -6b = -2b 18 + -2b = 3 + -1(5b + 9) Reorder the terms: 18 + -2b = 3 + -1(9 + 5b) 18 + -2b = 3 + (9 * -1 + 5b * -1) 18 + -2b = 3 + (-9 + -5b) Combine like terms: 3 + -9 = -6 18 + -2b = -6 + -5b Solving 18 + -2b = -6 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 18 + -2b + 5b = -6 + -5b + 5b Combine like terms: -2b + 5b = 3b 18 + 3b = -6 + -5b + 5b Combine like terms: -5b + 5b = 0 18 + 3b = -6 + 0 18 + 3b = -6 Add '-18' to each side of the equation. 18 + -18 + 3b = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3b = -6 + -18 3b = -6 + -18 Combine like terms: -6 + -18 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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