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Simplifying -3(v + -6) = 4v + -10 Reorder the terms: -3(-6 + v) = 4v + -10 (-6 * -3 + v * -3) = 4v + -10 (18 + -3v) = 4v + -10 Reorder the terms: 18 + -3v = -10 + 4v Solving 18 + -3v = -10 + 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 = -10 + 4v + -4v Combine like terms: -3v + -4v = -7v 18 + -7v = -10 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -7v = -10 + 0 18 + -7v = -10 Add '-18' to each side of the equation. 18 + -18 + -7v = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -7v = -10 + -18 -7v = -10 + -18 Combine like terms: -10 + -18 = -28 -7v = -28 Divide each side by '-7'. v = 4 Simplifying v = 4
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