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Simplifying -3v + -6 = 8(v + -9) Reorder the terms: -6 + -3v = 8(v + -9) Reorder the terms: -6 + -3v = 8(-9 + v) -6 + -3v = (-9 * 8 + v * 8) -6 + -3v = (-72 + 8v) Solving -6 + -3v = -72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -6 + -3v + -8v = -72 + 8v + -8v Combine like terms: -3v + -8v = -11v -6 + -11v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -11v = -72 + 0 -6 + -11v = -72 Add '6' to each side of the equation. -6 + 6 + -11v = -72 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = -72 + 6 -11v = -72 + 6 Combine like terms: -72 + 6 = -66 -11v = -66 Divide each side by '-11'. v = 6 Simplifying v = 6
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