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Simplifying 6(b + 4) = 3(4b + -16) Reorder the terms: 6(4 + b) = 3(4b + -16) (4 * 6 + b * 6) = 3(4b + -16) (24 + 6b) = 3(4b + -16) Reorder the terms: 24 + 6b = 3(-16 + 4b) 24 + 6b = (-16 * 3 + 4b * 3) 24 + 6b = (-48 + 12b) Solving 24 + 6b = -48 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 24 + 6b + -12b = -48 + 12b + -12b Combine like terms: 6b + -12b = -6b 24 + -6b = -48 + 12b + -12b Combine like terms: 12b + -12b = 0 24 + -6b = -48 + 0 24 + -6b = -48 Add '-24' to each side of the equation. 24 + -24 + -6b = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -6b = -48 + -24 -6b = -48 + -24 Combine like terms: -48 + -24 = -72 -6b = -72 Divide each side by '-6'. b = 12 Simplifying b = 12
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