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Simplifying 6v + 4v + 16 = 1 + 7v Reorder the terms: 16 + 6v + 4v = 1 + 7v Combine like terms: 6v + 4v = 10v 16 + 10v = 1 + 7v Solving 16 + 10v = 1 + 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. 16 + 10v + -7v = 1 + 7v + -7v Combine like terms: 10v + -7v = 3v 16 + 3v = 1 + 7v + -7v Combine like terms: 7v + -7v = 0 16 + 3v = 1 + 0 16 + 3v = 1 Add '-16' to each side of the equation. 16 + -16 + 3v = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 3v = 1 + -16 3v = 1 + -16 Combine like terms: 1 + -16 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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