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Simplifying 38 = 3v + 4(v + -8) Reorder the terms: 38 = 3v + 4(-8 + v) 38 = 3v + (-8 * 4 + v * 4) 38 = 3v + (-32 + 4v) Reorder the terms: 38 = -32 + 3v + 4v Combine like terms: 3v + 4v = 7v 38 = -32 + 7v Solving 38 = -32 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 38 + -7v = -32 + 7v + -7v Combine like terms: 7v + -7v = 0 38 + -7v = -32 + 0 38 + -7v = -32 Add '-38' to each side of the equation. 38 + -38 + -7v = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -7v = -32 + -38 -7v = -32 + -38 Combine like terms: -32 + -38 = -70 -7v = -70 Divide each side by '-7'. v = 10 Simplifying v = 10
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