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Simplifying 9b + -3(b + 6) = 2(b + 1) Reorder the terms: 9b + -3(6 + b) = 2(b + 1) 9b + (6 * -3 + b * -3) = 2(b + 1) 9b + (-18 + -3b) = 2(b + 1) Reorder the terms: -18 + 9b + -3b = 2(b + 1) Combine like terms: 9b + -3b = 6b -18 + 6b = 2(b + 1) Reorder the terms: -18 + 6b = 2(1 + b) -18 + 6b = (1 * 2 + b * 2) -18 + 6b = (2 + 2b) Solving -18 + 6b = 2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -18 + 6b + -2b = 2 + 2b + -2b Combine like terms: 6b + -2b = 4b -18 + 4b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 -18 + 4b = 2 + 0 -18 + 4b = 2 Add '18' to each side of the equation. -18 + 18 + 4b = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4b = 2 + 18 4b = 2 + 18 Combine like terms: 2 + 18 = 20 4b = 20 Divide each side by '4'. b = 5 Simplifying b = 5
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