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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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