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Simplifying -21 + 6v = -7v + -6(-8 + -6v) -21 + 6v = -7v + (-8 * -6 + -6v * -6) -21 + 6v = -7v + (48 + 36v) Reorder the terms: -21 + 6v = 48 + -7v + 36v Combine like terms: -7v + 36v = 29v -21 + 6v = 48 + 29v Solving -21 + 6v = 48 + 29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-29v' to each side of the equation. -21 + 6v + -29v = 48 + 29v + -29v Combine like terms: 6v + -29v = -23v -21 + -23v = 48 + 29v + -29v Combine like terms: 29v + -29v = 0 -21 + -23v = 48 + 0 -21 + -23v = 48 Add '21' to each side of the equation. -21 + 21 + -23v = 48 + 21 Combine like terms: -21 + 21 = 0 0 + -23v = 48 + 21 -23v = 48 + 21 Combine like terms: 48 + 21 = 69 -23v = 69 Divide each side by '-23'. v = -3 Simplifying v = -3
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