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Simplifying 18 + 6b = 6(7b + 9) Reorder the terms: 18 + 6b = 6(9 + 7b) 18 + 6b = (9 * 6 + 7b * 6) 18 + 6b = (54 + 42b) Solving 18 + 6b = 54 + 42b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42b' to each side of the equation. 18 + 6b + -42b = 54 + 42b + -42b Combine like terms: 6b + -42b = -36b 18 + -36b = 54 + 42b + -42b Combine like terms: 42b + -42b = 0 18 + -36b = 54 + 0 18 + -36b = 54 Add '-18' to each side of the equation. 18 + -18 + -36b = 54 + -18 Combine like terms: 18 + -18 = 0 0 + -36b = 54 + -18 -36b = 54 + -18 Combine like terms: 54 + -18 = 36 -36b = 36 Divide each side by '-36'. b = -1 Simplifying b = -1
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