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Simplifying 7(6v + 6) + -5 = 1 + 6v Reorder the terms: 7(6 + 6v) + -5 = 1 + 6v (6 * 7 + 6v * 7) + -5 = 1 + 6v (42 + 42v) + -5 = 1 + 6v Reorder the terms: 42 + -5 + 42v = 1 + 6v Combine like terms: 42 + -5 = 37 37 + 42v = 1 + 6v Solving 37 + 42v = 1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 37 + 42v + -6v = 1 + 6v + -6v Combine like terms: 42v + -6v = 36v 37 + 36v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 37 + 36v = 1 + 0 37 + 36v = 1 Add '-37' to each side of the equation. 37 + -37 + 36v = 1 + -37 Combine like terms: 37 + -37 = 0 0 + 36v = 1 + -37 36v = 1 + -37 Combine like terms: 1 + -37 = -36 36v = -36 Divide each side by '36'. v = -1 Simplifying v = -1
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