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Simplifying 36 + 4v = 5(1 + 7v) 36 + 4v = (1 * 5 + 7v * 5) 36 + 4v = (5 + 35v) Solving 36 + 4v = 5 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 36 + 4v + -35v = 5 + 35v + -35v Combine like terms: 4v + -35v = -31v 36 + -31v = 5 + 35v + -35v Combine like terms: 35v + -35v = 0 36 + -31v = 5 + 0 36 + -31v = 5 Add '-36' to each side of the equation. 36 + -36 + -31v = 5 + -36 Combine like terms: 36 + -36 = 0 0 + -31v = 5 + -36 -31v = 5 + -36 Combine like terms: 5 + -36 = -31 -31v = -31 Divide each side by '-31'. v = 1 Simplifying v = 1
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