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Simplifying 6(6v + 8) + -5 = 1 + 6v Reorder the terms: 6(8 + 6v) + -5 = 1 + 6v (8 * 6 + 6v * 6) + -5 = 1 + 6v (48 + 36v) + -5 = 1 + 6v Reorder the terms: 48 + -5 + 36v = 1 + 6v Combine like terms: 48 + -5 = 43 43 + 36v = 1 + 6v Solving 43 + 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. 43 + 36v + -6v = 1 + 6v + -6v Combine like terms: 36v + -6v = 30v 43 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 43 + 30v = 1 + 0 43 + 30v = 1 Add '-43' to each side of the equation. 43 + -43 + 30v = 1 + -43 Combine like terms: 43 + -43 = 0 0 + 30v = 1 + -43 30v = 1 + -43 Combine like terms: 1 + -43 = -42 30v = -42 Divide each side by '30'. v = -1.4 Simplifying v = -1.4
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