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Simplifying 4(b + 4) = 6b + 24 Reorder the terms: 4(4 + b) = 6b + 24 (4 * 4 + b * 4) = 6b + 24 (16 + 4b) = 6b + 24 Reorder the terms: 16 + 4b = 24 + 6b Solving 16 + 4b = 24 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 16 + 4b + -6b = 24 + 6b + -6b Combine like terms: 4b + -6b = -2b 16 + -2b = 24 + 6b + -6b Combine like terms: 6b + -6b = 0 16 + -2b = 24 + 0 16 + -2b = 24 Add '-16' to each side of the equation. 16 + -16 + -2b = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -2b = 24 + -16 -2b = 24 + -16 Combine like terms: 24 + -16 = 8 -2b = 8 Divide each side by '-2'. b = -4 Simplifying b = -4
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