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Simplifying 6(-2 + -6v) = -2(9 + 15v) (-2 * 6 + -6v * 6) = -2(9 + 15v) (-12 + -36v) = -2(9 + 15v) -12 + -36v = (9 * -2 + 15v * -2) -12 + -36v = (-18 + -30v) Solving -12 + -36v = -18 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. -12 + -36v + 30v = -18 + -30v + 30v Combine like terms: -36v + 30v = -6v -12 + -6v = -18 + -30v + 30v Combine like terms: -30v + 30v = 0 -12 + -6v = -18 + 0 -12 + -6v = -18 Add '12' to each side of the equation. -12 + 12 + -6v = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -6v = -18 + 12 -6v = -18 + 12 Combine like terms: -18 + 12 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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