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Simplifying 8v + -26 = -7(v + -7) Reorder the terms: -26 + 8v = -7(v + -7) Reorder the terms: -26 + 8v = -7(-7 + v) -26 + 8v = (-7 * -7 + v * -7) -26 + 8v = (49 + -7v) Solving -26 + 8v = 49 + -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. -26 + 8v + 7v = 49 + -7v + 7v Combine like terms: 8v + 7v = 15v -26 + 15v = 49 + -7v + 7v Combine like terms: -7v + 7v = 0 -26 + 15v = 49 + 0 -26 + 15v = 49 Add '26' to each side of the equation. -26 + 26 + 15v = 49 + 26 Combine like terms: -26 + 26 = 0 0 + 15v = 49 + 26 15v = 49 + 26 Combine like terms: 49 + 26 = 75 15v = 75 Divide each side by '15'. v = 5 Simplifying v = 5
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