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Simplifying -7(v + -3) = -5v + 19 Reorder the terms: -7(-3 + v) = -5v + 19 (-3 * -7 + v * -7) = -5v + 19 (21 + -7v) = -5v + 19 Reorder the terms: 21 + -7v = 19 + -5v Solving 21 + -7v = 19 + -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 + -7v + 5v = 19 + -5v + 5v Combine like terms: -7v + 5v = -2v 21 + -2v = 19 + -5v + 5v Combine like terms: -5v + 5v = 0 21 + -2v = 19 + 0 21 + -2v = 19 Add '-21' to each side of the equation. 21 + -21 + -2v = 19 + -21 Combine like terms: 21 + -21 = 0 0 + -2v = 19 + -21 -2v = 19 + -21 Combine like terms: 19 + -21 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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