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Simplifying -5(v + 1) + 1 = 4(v + 4) Reorder the terms: -5(1 + v) + 1 = 4(v + 4) (1 * -5 + v * -5) + 1 = 4(v + 4) (-5 + -5v) + 1 = 4(v + 4) Reorder the terms: -5 + 1 + -5v = 4(v + 4) Combine like terms: -5 + 1 = -4 -4 + -5v = 4(v + 4) Reorder the terms: -4 + -5v = 4(4 + v) -4 + -5v = (4 * 4 + v * 4) -4 + -5v = (16 + 4v) Solving -4 + -5v = 16 + 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. -4 + -5v + -4v = 16 + 4v + -4v Combine like terms: -5v + -4v = -9v -4 + -9v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 -4 + -9v = 16 + 0 -4 + -9v = 16 Add '4' to each side of the equation. -4 + 4 + -9v = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -9v = 16 + 4 -9v = 16 + 4 Combine like terms: 16 + 4 = 20 -9v = 20 Divide each side by '-9'. v = -2.222222222 Simplifying v = -2.222222222
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