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Simplifying 6(b + 4) = 2(b + -4) Reorder the terms: 6(4 + b) = 2(b + -4) (4 * 6 + b * 6) = 2(b + -4) (24 + 6b) = 2(b + -4) Reorder the terms: 24 + 6b = 2(-4 + b) 24 + 6b = (-4 * 2 + b * 2) 24 + 6b = (-8 + 2b) Solving 24 + 6b = -8 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 24 + 6b + -2b = -8 + 2b + -2b Combine like terms: 6b + -2b = 4b 24 + 4b = -8 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + 4b = -8 + 0 24 + 4b = -8 Add '-24' to each side of the equation. 24 + -24 + 4b = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 4b = -8 + -24 4b = -8 + -24 Combine like terms: -8 + -24 = -32 4b = -32 Divide each side by '4'. b = -8 Simplifying b = -8
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