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Simplifying 4x + -13 + -10v = 12 + -24v + 15 Reorder the terms: -13 + -10v + 4x = 12 + -24v + 15 Reorder the terms: -13 + -10v + 4x = 12 + 15 + -24v Combine like terms: 12 + 15 = 27 -13 + -10v + 4x = 27 + -24v Solving -13 + -10v + 4x = 27 + -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. -13 + -10v + 24v + 4x = 27 + -24v + 24v Combine like terms: -10v + 24v = 14v -13 + 14v + 4x = 27 + -24v + 24v Combine like terms: -24v + 24v = 0 -13 + 14v + 4x = 27 + 0 -13 + 14v + 4x = 27 Add '13' to each side of the equation. -13 + 14v + 13 + 4x = 27 + 13 Reorder the terms: -13 + 13 + 14v + 4x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 14v + 4x = 27 + 13 14v + 4x = 27 + 13 Combine like terms: 27 + 13 = 40 14v + 4x = 40 Add '-4x' to each side of the equation. 14v + 4x + -4x = 40 + -4x Combine like terms: 4x + -4x = 0 14v + 0 = 40 + -4x 14v = 40 + -4x Divide each side by '14'. v = 2.857142857 + -0.2857142857x Simplifying v = 2.857142857 + -0.2857142857x
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