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Simplifying -3(v + -5) = 19 + -7v Reorder the terms: -3(-5 + v) = 19 + -7v (-5 * -3 + v * -3) = 19 + -7v (15 + -3v) = 19 + -7v Solving 15 + -3v = 19 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 15 + -3v + 7v = 19 + -7v + 7v Combine like terms: -3v + 7v = 4v 15 + 4v = 19 + -7v + 7v Combine like terms: -7v + 7v = 0 15 + 4v = 19 + 0 15 + 4v = 19 Add '-15' to each side of the equation. 15 + -15 + 4v = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 4v = 19 + -15 4v = 19 + -15 Combine like terms: 19 + -15 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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