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Simplifying 6v + -2(-8 + 5v) = 1 + -7v 6v + (-8 * -2 + 5v * -2) = 1 + -7v 6v + (16 + -10v) = 1 + -7v Reorder the terms: 16 + 6v + -10v = 1 + -7v Combine like terms: 6v + -10v = -4v 16 + -4v = 1 + -7v Solving 16 + -4v = 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 + -4v + 7v = 1 + -7v + 7v Combine like terms: -4v + 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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