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Simplifying 12(b + 2) = 3(2y + -7) Reorder the terms: 12(2 + b) = 3(2y + -7) (2 * 12 + b * 12) = 3(2y + -7) (24 + 12b) = 3(2y + -7) Reorder the terms: 24 + 12b = 3(-7 + 2y) 24 + 12b = (-7 * 3 + 2y * 3) 24 + 12b = (-21 + 6y) Solving 24 + 12b = -21 + 6y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12b = -21 + -24 + 6y Combine like terms: 24 + -24 = 0 0 + 12b = -21 + -24 + 6y 12b = -21 + -24 + 6y Combine like terms: -21 + -24 = -45 12b = -45 + 6y Divide each side by '12'. b = -3.75 + 0.5y Simplifying b = -3.75 + 0.5y
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