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Simplifying -5v + 40 = 4(v + 1) Reorder the terms: 40 + -5v = 4(v + 1) Reorder the terms: 40 + -5v = 4(1 + v) 40 + -5v = (1 * 4 + v * 4) 40 + -5v = (4 + 4v) Solving 40 + -5v = 4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 40 + -5v + -4v = 4 + 4v + -4v Combine like terms: -5v + -4v = -9v 40 + -9v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 40 + -9v = 4 + 0 40 + -9v = 4 Add '-40' to each side of the equation. 40 + -40 + -9v = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -9v = 4 + -40 -9v = 4 + -40 Combine like terms: 4 + -40 = -36 -9v = -36 Divide each side by '-9'. v = 4 Simplifying v = 4
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