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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 = 30v -41 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 -41 + 30v = 1 + 0 -41 + 30v = 1 Add '41' to each side of the equation. -41 + 41 + 30v = 1 + 41 Combine like terms: -41 + 41 = 0 0 + 30v = 1 + 41 30v = 1 + 41 Combine like terms: 1 + 41 = 42 30v = 42 Divide each side by '30'. v = 1.4 Simplifying v = 1.4
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