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Simplifying 15 + 6b + -6v = 4b + -1 + -6b Reorder the terms: 15 + 6b + -6v = -1 + 4b + -6b Combine like terms: 4b + -6b = -2b 15 + 6b + -6v = -1 + -2b Solving 15 + 6b + -6v = -1 + -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. 15 + 6b + 2b + -6v = -1 + -2b + 2b Combine like terms: 6b + 2b = 8b 15 + 8b + -6v = -1 + -2b + 2b Combine like terms: -2b + 2b = 0 15 + 8b + -6v = -1 + 0 15 + 8b + -6v = -1 Add '-15' to each side of the equation. 15 + 8b + -15 + -6v = -1 + -15 Reorder the terms: 15 + -15 + 8b + -6v = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 8b + -6v = -1 + -15 8b + -6v = -1 + -15 Combine like terms: -1 + -15 = -16 8b + -6v = -16 Add '6v' to each side of the equation. 8b + -6v + 6v = -16 + 6v Combine like terms: -6v + 6v = 0 8b + 0 = -16 + 6v 8b = -16 + 6v Divide each side by '8'. b = -2 + 0.75v Simplifying b = -2 + 0.75v
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