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Simplifying -7(-2v + -19) + -18v = -16v + -20 + -5v Reorder the terms: -7(-19 + -2v) + -18v = -16v + -20 + -5v (-19 * -7 + -2v * -7) + -18v = -16v + -20 + -5v (133 + 14v) + -18v = -16v + -20 + -5v Combine like terms: 14v + -18v = -4v 133 + -4v = -16v + -20 + -5v Reorder the terms: 133 + -4v = -20 + -16v + -5v Combine like terms: -16v + -5v = -21v 133 + -4v = -20 + -21v Solving 133 + -4v = -20 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. 133 + -4v + 21v = -20 + -21v + 21v Combine like terms: -4v + 21v = 17v 133 + 17v = -20 + -21v + 21v Combine like terms: -21v + 21v = 0 133 + 17v = -20 + 0 133 + 17v = -20 Add '-133' to each side of the equation. 133 + -133 + 17v = -20 + -133 Combine like terms: 133 + -133 = 0 0 + 17v = -20 + -133 17v = -20 + -133 Combine like terms: -20 + -133 = -153 17v = -153 Divide each side by '17'. v = -9 Simplifying v = -9
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