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Simplifying 36 + 8v = 4v + 8(1 + 4v) 36 + 8v = 4v + (1 * 8 + 4v * 8) 36 + 8v = 4v + (8 + 32v) Reorder the terms: 36 + 8v = 8 + 4v + 32v Combine like terms: 4v + 32v = 36v 36 + 8v = 8 + 36v Solving 36 + 8v = 8 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 36 + 8v + -36v = 8 + 36v + -36v Combine like terms: 8v + -36v = -28v 36 + -28v = 8 + 36v + -36v Combine like terms: 36v + -36v = 0 36 + -28v = 8 + 0 36 + -28v = 8 Add '-36' to each side of the equation. 36 + -36 + -28v = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -28v = 8 + -36 -28v = 8 + -36 Combine like terms: 8 + -36 = -28 -28v = -28 Divide each side by '-28'. v = 1 Simplifying v = 1
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