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Simplifying -6 + -7 + 4v + 4v = v + -6 Combine like terms: -6 + -7 = -13 -13 + 4v + 4v = v + -6 Combine like terms: 4v + 4v = 8v -13 + 8v = v + -6 Reorder the terms: -13 + 8v = -6 + v Solving -13 + 8v = -6 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -13 + 8v + -1v = -6 + v + -1v Combine like terms: 8v + -1v = 7v -13 + 7v = -6 + v + -1v Combine like terms: v + -1v = 0 -13 + 7v = -6 + 0 -13 + 7v = -6 Add '13' to each side of the equation. -13 + 13 + 7v = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 7v = -6 + 13 7v = -6 + 13 Combine like terms: -6 + 13 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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