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Simplifying 14 + b = 4(b + 8) Reorder the terms: 14 + b = 4(8 + b) 14 + b = (8 * 4 + b * 4) 14 + b = (32 + 4b) Solving 14 + b = 32 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 14 + b + -4b = 32 + 4b + -4b Combine like terms: b + -4b = -3b 14 + -3b = 32 + 4b + -4b Combine like terms: 4b + -4b = 0 14 + -3b = 32 + 0 14 + -3b = 32 Add '-14' to each side of the equation. 14 + -14 + -3b = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -3b = 32 + -14 -3b = 32 + -14 Combine like terms: 32 + -14 = 18 -3b = 18 Divide each side by '-3'. b = -6 Simplifying b = -6
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