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Simplifying -15 = 6 + 7(v + -8) Reorder the terms: -15 = 6 + 7(-8 + v) -15 = 6 + (-8 * 7 + v * 7) -15 = 6 + (-56 + 7v) Combine like terms: 6 + -56 = -50 -15 = -50 + 7v Solving -15 = -50 + 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. -15 + -7v = -50 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -7v = -50 + 0 -15 + -7v = -50 Add '15' to each side of the equation. -15 + 15 + -7v = -50 + 15 Combine like terms: -15 + 15 = 0 0 + -7v = -50 + 15 -7v = -50 + 15 Combine like terms: -50 + 15 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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