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Simplifying 18 = 6(b + 6) + -4(b + 1) Reorder the terms: 18 = 6(6 + b) + -4(b + 1) 18 = (6 * 6 + b * 6) + -4(b + 1) 18 = (36 + 6b) + -4(b + 1) Reorder the terms: 18 = 36 + 6b + -4(1 + b) 18 = 36 + 6b + (1 * -4 + b * -4) 18 = 36 + 6b + (-4 + -4b) Reorder the terms: 18 = 36 + -4 + 6b + -4b Combine like terms: 36 + -4 = 32 18 = 32 + 6b + -4b Combine like terms: 6b + -4b = 2b 18 = 32 + 2b Solving 18 = 32 + 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 + -2b = 32 + 2b + -2b Combine like terms: 2b + -2b = 0 18 + -2b = 32 + 0 18 + -2b = 32 Add '-18' to each side of the equation. 18 + -18 + -2b = 32 + -18 Combine like terms: 18 + -18 = 0 0 + -2b = 32 + -18 -2b = 32 + -18 Combine like terms: 32 + -18 = 14 -2b = 14 Divide each side by '-2'. b = -7 Simplifying b = -7
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