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Simplifying -4v + 38 = 6(4v + -3) Reorder the terms: 38 + -4v = 6(4v + -3) Reorder the terms: 38 + -4v = 6(-3 + 4v) 38 + -4v = (-3 * 6 + 4v * 6) 38 + -4v = (-18 + 24v) Solving 38 + -4v = -18 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. 38 + -4v + -24v = -18 + 24v + -24v Combine like terms: -4v + -24v = -28v 38 + -28v = -18 + 24v + -24v Combine like terms: 24v + -24v = 0 38 + -28v = -18 + 0 38 + -28v = -18 Add '-38' to each side of the equation. 38 + -38 + -28v = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -28v = -18 + -38 -28v = -18 + -38 Combine like terms: -18 + -38 = -56 -28v = -56 Divide each side by '-28'. v = 2 Simplifying v = 2
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