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Simplifying -7(-4v + -20) + -13v = -17 + -1v + -19 Reorder the terms: -7(-20 + -4v) + -13v = -17 + -1v + -19 (-20 * -7 + -4v * -7) + -13v = -17 + -1v + -19 (140 + 28v) + -13v = -17 + -1v + -19 Combine like terms: 28v + -13v = 15v 140 + 15v = -17 + -1v + -19 Reorder the terms: 140 + 15v = -17 + -19 + -1v Combine like terms: -17 + -19 = -36 140 + 15v = -36 + -1v Solving 140 + 15v = -36 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 140 + 15v + v = -36 + -1v + v Combine like terms: 15v + v = 16v 140 + 16v = -36 + -1v + v Combine like terms: -1v + v = 0 140 + 16v = -36 + 0 140 + 16v = -36 Add '-140' to each side of the equation. 140 + -140 + 16v = -36 + -140 Combine like terms: 140 + -140 = 0 0 + 16v = -36 + -140 16v = -36 + -140 Combine like terms: -36 + -140 = -176 16v = -176 Divide each side by '16'. v = -11 Simplifying v = -11
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