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Simplifying 4(b + 3) = 8(14b + 21) Reorder the terms: 4(3 + b) = 8(14b + 21) (3 * 4 + b * 4) = 8(14b + 21) (12 + 4b) = 8(14b + 21) Reorder the terms: 12 + 4b = 8(21 + 14b) 12 + 4b = (21 * 8 + 14b * 8) 12 + 4b = (168 + 112b) Solving 12 + 4b = 168 + 112b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-112b' to each side of the equation. 12 + 4b + -112b = 168 + 112b + -112b Combine like terms: 4b + -112b = -108b 12 + -108b = 168 + 112b + -112b Combine like terms: 112b + -112b = 0 12 + -108b = 168 + 0 12 + -108b = 168 Add '-12' to each side of the equation. 12 + -12 + -108b = 168 + -12 Combine like terms: 12 + -12 = 0 0 + -108b = 168 + -12 -108b = 168 + -12 Combine like terms: 168 + -12 = 156 -108b = 156 Divide each side by '-108'. b = -1.444444444 Simplifying b = -1.444444444
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