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Simplifying -6(6v + 6) + -5 = 1 + 6v Reorder the terms: -6(6 + 6v) + -5 = 1 + 6v (6 * -6 + 6v * -6) + -5 = 1 + 6v (-36 + -36v) + -5 = 1 + 6v Reorder the terms: -36 + -5 + -36v = 1 + 6v Combine like terms: -36 + -5 = -41 -41 + -36v = 1 + 6v Solving -41 + -36v = 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. -41 + -36v + -6v = 1 + 6v + -6v Combine like terms: -36v + -6v = -42v -41 + -42v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 -41 + -42v = 1 + 0 -41 + -42v = 1 Add '41' to each side of the equation. -41 + 41 + -42v = 1 + 41 Combine like terms: -41 + 41 = 0 0 + -42v = 1 + 41 -42v = 1 + 41 Combine like terms: 1 + 41 = 42 -42v = 42 Divide each side by '-42'. v = -1 Simplifying v = -1
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