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Simplifying 3(v + -7) = 8v + -26 Reorder the terms: 3(-7 + v) = 8v + -26 (-7 * 3 + v * 3) = 8v + -26 (-21 + 3v) = 8v + -26 Reorder the terms: -21 + 3v = -26 + 8v Solving -21 + 3v = -26 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -21 + 3v + -8v = -26 + 8v + -8v Combine like terms: 3v + -8v = -5v -21 + -5v = -26 + 8v + -8v Combine like terms: 8v + -8v = 0 -21 + -5v = -26 + 0 -21 + -5v = -26 Add '21' to each side of the equation. -21 + 21 + -5v = -26 + 21 Combine like terms: -21 + 21 = 0 0 + -5v = -26 + 21 -5v = -26 + 21 Combine like terms: -26 + 21 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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