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Simplifying 6b + -1(3v + 8) = 16 Reorder the terms: 6b + -1(8 + 3v) = 16 6b + (8 * -1 + 3v * -1) = 16 6b + (-8 + -3v) = 16 Reorder the terms: -8 + 6b + -3v = 16 Solving -8 + 6b + -3v = 16 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 6b + 8 + -3v = 16 + 8 Reorder the terms: -8 + 8 + 6b + -3v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6b + -3v = 16 + 8 6b + -3v = 16 + 8 Combine like terms: 16 + 8 = 24 6b + -3v = 24 Add '3v' to each side of the equation. 6b + -3v + 3v = 24 + 3v Combine like terms: -3v + 3v = 0 6b + 0 = 24 + 3v 6b = 24 + 3v Divide each side by '6'. b = 4 + 0.5v Simplifying b = 4 + 0.5v
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