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Simplifying 7(7v + -3) = 5v + 23 Reorder the terms: 7(-3 + 7v) = 5v + 23 (-3 * 7 + 7v * 7) = 5v + 23 (-21 + 49v) = 5v + 23 Reorder the terms: -21 + 49v = 23 + 5v Solving -21 + 49v = 23 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -21 + 49v + -5v = 23 + 5v + -5v Combine like terms: 49v + -5v = 44v -21 + 44v = 23 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + 44v = 23 + 0 -21 + 44v = 23 Add '21' to each side of the equation. -21 + 21 + 44v = 23 + 21 Combine like terms: -21 + 21 = 0 0 + 44v = 23 + 21 44v = 23 + 21 Combine like terms: 23 + 21 = 44 44v = 44 Divide each side by '44'. v = 1 Simplifying v = 1
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