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Simplifying 21 + -7v = 6(3 + -1v) 21 + -7v = (3 * 6 + -1v * 6) 21 + -7v = (18 + -6v) Solving 21 + -7v = 18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 21 + -7v + 6v = 18 + -6v + 6v Combine like terms: -7v + 6v = -1v 21 + -1v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 21 + -1v = 18 + 0 21 + -1v = 18 Add '-21' to each side of the equation. 21 + -21 + -1v = 18 + -21 Combine like terms: 21 + -21 = 0 0 + -1v = 18 + -21 -1v = 18 + -21 Combine like terms: 18 + -21 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3
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