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Simplifying 6(b + 3) = 3b + 15 Reorder the terms: 6(3 + b) = 3b + 15 (3 * 6 + b * 6) = 3b + 15 (18 + 6b) = 3b + 15 Reorder the terms: 18 + 6b = 15 + 3b Solving 18 + 6b = 15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 18 + 6b + -3b = 15 + 3b + -3b Combine like terms: 6b + -3b = 3b 18 + 3b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + 3b = 15 + 0 18 + 3b = 15 Add '-18' to each side of the equation. 18 + -18 + 3b = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 3b = 15 + -18 3b = 15 + -18 Combine like terms: 15 + -18 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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