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Simplifying 1 + 6(-3v + 3) = 41 + -7v Reorder the terms: 1 + 6(3 + -3v) = 41 + -7v 1 + (3 * 6 + -3v * 6) = 41 + -7v 1 + (18 + -18v) = 41 + -7v Combine like terms: 1 + 18 = 19 19 + -18v = 41 + -7v Solving 19 + -18v = 41 + -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. 19 + -18v + 7v = 41 + -7v + 7v Combine like terms: -18v + 7v = -11v 19 + -11v = 41 + -7v + 7v Combine like terms: -7v + 7v = 0 19 + -11v = 41 + 0 19 + -11v = 41 Add '-19' to each side of the equation. 19 + -19 + -11v = 41 + -19 Combine like terms: 19 + -19 = 0 0 + -11v = 41 + -19 -11v = 41 + -19 Combine like terms: 41 + -19 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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