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Simplifying 27 + 4v = 5(1 + 6v) + -4 27 + 4v = (1 * 5 + 6v * 5) + -4 27 + 4v = (5 + 30v) + -4 Reorder the terms: 27 + 4v = 5 + -4 + 30v Combine like terms: 5 + -4 = 1 27 + 4v = 1 + 30v Solving 27 + 4v = 1 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 27 + 4v + -30v = 1 + 30v + -30v Combine like terms: 4v + -30v = -26v 27 + -26v = 1 + 30v + -30v Combine like terms: 30v + -30v = 0 27 + -26v = 1 + 0 27 + -26v = 1 Add '-27' to each side of the equation. 27 + -27 + -26v = 1 + -27 Combine like terms: 27 + -27 = 0 0 + -26v = 1 + -27 -26v = 1 + -27 Combine like terms: 1 + -27 = -26 -26v = -26 Divide each side by '-26'. v = 1 Simplifying v = 1
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