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Simplifying -17 = 2 + 7(v + -8) Reorder the terms: -17 = 2 + 7(-8 + v) -17 = 2 + (-8 * 7 + v * 7) -17 = 2 + (-56 + 7v) Combine like terms: 2 + -56 = -54 -17 = -54 + 7v Solving -17 = -54 + 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. -17 + -7v = -54 + 7v + -7v Combine like terms: 7v + -7v = 0 -17 + -7v = -54 + 0 -17 + -7v = -54 Add '17' to each side of the equation. -17 + 17 + -7v = -54 + 17 Combine like terms: -17 + 17 = 0 0 + -7v = -54 + 17 -7v = -54 + 17 Combine like terms: -54 + 17 = -37 -7v = -37 Divide each side by '-7'. v = 5.285714286 Simplifying v = 5.285714286
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