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Simplifying 40 + 8v = 4v + 8(7v + -8) Reorder the terms: 40 + 8v = 4v + 8(-8 + 7v) 40 + 8v = 4v + (-8 * 8 + 7v * 8) 40 + 8v = 4v + (-64 + 56v) Reorder the terms: 40 + 8v = -64 + 4v + 56v Combine like terms: 4v + 56v = 60v 40 + 8v = -64 + 60v Solving 40 + 8v = -64 + 60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-60v' to each side of the equation. 40 + 8v + -60v = -64 + 60v + -60v Combine like terms: 8v + -60v = -52v 40 + -52v = -64 + 60v + -60v Combine like terms: 60v + -60v = 0 40 + -52v = -64 + 0 40 + -52v = -64 Add '-40' to each side of the equation. 40 + -40 + -52v = -64 + -40 Combine like terms: 40 + -40 = 0 0 + -52v = -64 + -40 -52v = -64 + -40 Combine like terms: -64 + -40 = -104 -52v = -104 Divide each side by '-52'. v = 2 Simplifying v = 2
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