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Simplifying 3v + -26 = 7(v + 2) Reorder the terms: -26 + 3v = 7(v + 2) Reorder the terms: -26 + 3v = 7(2 + v) -26 + 3v = (2 * 7 + v * 7) -26 + 3v = (14 + 7v) Solving -26 + 3v = 14 + 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 + 3v + -7v = 14 + 7v + -7v Combine like terms: 3v + -7v = -4v -26 + -4v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 -26 + -4v = 14 + 0 -26 + -4v = 14 Add '26' to each side of the equation. -26 + 26 + -4v = 14 + 26 Combine like terms: -26 + 26 = 0 0 + -4v = 14 + 26 -4v = 14 + 26 Combine like terms: 14 + 26 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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