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Simplifying -3(v + -6) = 4v + 46 Reorder the terms: -3(-6 + v) = 4v + 46 (-6 * -3 + v * -3) = 4v + 46 (18 + -3v) = 4v + 46 Reorder the terms: 18 + -3v = 46 + 4v Solving 18 + -3v = 46 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 18 + -3v + -4v = 46 + 4v + -4v Combine like terms: -3v + -4v = -7v 18 + -7v = 46 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -7v = 46 + 0 18 + -7v = 46 Add '-18' to each side of the equation. 18 + -18 + -7v = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -7v = 46 + -18 -7v = 46 + -18 Combine like terms: 46 + -18 = 28 -7v = 28 Divide each side by '-7'. v = -4 Simplifying v = -4
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