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Simplifying -17 = 6(v + 8) + 7v Reorder the terms: -17 = 6(8 + v) + 7v -17 = (8 * 6 + v * 6) + 7v -17 = (48 + 6v) + 7v Combine like terms: 6v + 7v = 13v -17 = 48 + 13v Solving -17 = 48 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -17 + -13v = 48 + 13v + -13v Combine like terms: 13v + -13v = 0 -17 + -13v = 48 + 0 -17 + -13v = 48 Add '17' to each side of the equation. -17 + 17 + -13v = 48 + 17 Combine like terms: -17 + 17 = 0 0 + -13v = 48 + 17 -13v = 48 + 17 Combine like terms: 48 + 17 = 65 -13v = 65 Divide each side by '-13'. v = -5 Simplifying v = -5
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