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Simplifying 40 + 8v = 2(8v + 6) + -1v Reorder the terms: 40 + 8v = 2(6 + 8v) + -1v 40 + 8v = (6 * 2 + 8v * 2) + -1v 40 + 8v = (12 + 16v) + -1v Combine like terms: 16v + -1v = 15v 40 + 8v = 12 + 15v Solving 40 + 8v = 12 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 40 + 8v + -15v = 12 + 15v + -15v Combine like terms: 8v + -15v = -7v 40 + -7v = 12 + 15v + -15v Combine like terms: 15v + -15v = 0 40 + -7v = 12 + 0 40 + -7v = 12 Add '-40' to each side of the equation. 40 + -40 + -7v = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -7v = 12 + -40 -7v = 12 + -40 Combine like terms: 12 + -40 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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