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Simplifying 4(b + 6) = 2(3b + -4) Reorder the terms: 4(6 + b) = 2(3b + -4) (6 * 4 + b * 4) = 2(3b + -4) (24 + 4b) = 2(3b + -4) Reorder the terms: 24 + 4b = 2(-4 + 3b) 24 + 4b = (-4 * 2 + 3b * 2) 24 + 4b = (-8 + 6b) Solving 24 + 4b = -8 + 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. 24 + 4b + -6b = -8 + 6b + -6b Combine like terms: 4b + -6b = -2b 24 + -2b = -8 + 6b + -6b Combine like terms: 6b + -6b = 0 24 + -2b = -8 + 0 24 + -2b = -8 Add '-24' to each side of the equation. 24 + -24 + -2b = -8 + -24 Combine like terms: 24 + -24 = 0 0 + -2b = -8 + -24 -2b = -8 + -24 Combine like terms: -8 + -24 = -32 -2b = -32 Divide each side by '-2'. b = 16 Simplifying b = 16
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