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Simplifying -6 + 6(3 + -3v) = 102 -6 + (3 * 6 + -3v * 6) = 102 -6 + (18 + -18v) = 102 Combine like terms: -6 + 18 = 12 12 + -18v = 102 Solving 12 + -18v = 102 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -18v = 102 + -12 Combine like terms: 12 + -12 = 0 0 + -18v = 102 + -12 -18v = 102 + -12 Combine like terms: 102 + -12 = 90 -18v = 90 Divide each side by '-18'. v = -5 Simplifying v = -5
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