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Simplifying 7(b + 6) + -3v = 0 Reorder the terms: 7(6 + b) + -3v = 0 (6 * 7 + b * 7) + -3v = 0 (42 + 7b) + -3v = 0 Solving 42 + 7b + -3v = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 7b + -42 + -3v = 0 + -42 Reorder the terms: 42 + -42 + 7b + -3v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7b + -3v = 0 + -42 7b + -3v = 0 + -42 Combine like terms: 0 + -42 = -42 7b + -3v = -42 Add '3v' to each side of the equation. 7b + -3v + 3v = -42 + 3v Combine like terms: -3v + 3v = 0 7b + 0 = -42 + 3v 7b = -42 + 3v Divide each side by '7'. b = -6 + 0.4285714286v Simplifying b = -6 + 0.4285714286v
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