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Simplifying 21v + -21 + -8v = 7v + -28 + -9 Reorder the terms: -21 + 21v + -8v = 7v + -28 + -9 Combine like terms: 21v + -8v = 13v -21 + 13v = 7v + -28 + -9 Reorder the terms: -21 + 13v = -28 + -9 + 7v Combine like terms: -28 + -9 = -37 -21 + 13v = -37 + 7v Solving -21 + 13v = -37 + 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. -21 + 13v + -7v = -37 + 7v + -7v Combine like terms: 13v + -7v = 6v -21 + 6v = -37 + 7v + -7v Combine like terms: 7v + -7v = 0 -21 + 6v = -37 + 0 -21 + 6v = -37 Add '21' to each side of the equation. -21 + 21 + 6v = -37 + 21 Combine like terms: -21 + 21 = 0 0 + 6v = -37 + 21 6v = -37 + 21 Combine like terms: -37 + 21 = -16 6v = -16 Divide each side by '6'. v = -2.666666667 Simplifying v = -2.666666667
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