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Simplifying -3v + -21 = 7 + -1(7v + 8) Reorder the terms: -21 + -3v = 7 + -1(7v + 8) Reorder the terms: -21 + -3v = 7 + -1(8 + 7v) -21 + -3v = 7 + (8 * -1 + 7v * -1) -21 + -3v = 7 + (-8 + -7v) Combine like terms: 7 + -8 = -1 -21 + -3v = -1 + -7v Solving -21 + -3v = -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. -21 + -3v + 7v = -1 + -7v + 7v Combine like terms: -3v + 7v = 4v -21 + 4v = -1 + -7v + 7v Combine like terms: -7v + 7v = 0 -21 + 4v = -1 + 0 -21 + 4v = -1 Add '21' to each side of the equation. -21 + 21 + 4v = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 4v = -1 + 21 4v = -1 + 21 Combine like terms: -1 + 21 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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