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Simplifying -2(6v + -16) + 20 = -19 + 10v + -17 Reorder the terms: -2(-16 + 6v) + 20 = -19 + 10v + -17 (-16 * -2 + 6v * -2) + 20 = -19 + 10v + -17 (32 + -12v) + 20 = -19 + 10v + -17 Reorder the terms: 32 + 20 + -12v = -19 + 10v + -17 Combine like terms: 32 + 20 = 52 52 + -12v = -19 + 10v + -17 Reorder the terms: 52 + -12v = -19 + -17 + 10v Combine like terms: -19 + -17 = -36 52 + -12v = -36 + 10v Solving 52 + -12v = -36 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 52 + -12v + -10v = -36 + 10v + -10v Combine like terms: -12v + -10v = -22v 52 + -22v = -36 + 10v + -10v Combine like terms: 10v + -10v = 0 52 + -22v = -36 + 0 52 + -22v = -36 Add '-52' to each side of the equation. 52 + -52 + -22v = -36 + -52 Combine like terms: 52 + -52 = 0 0 + -22v = -36 + -52 -22v = -36 + -52 Combine like terms: -36 + -52 = -88 -22v = -88 Divide each side by '-22'. v = 4 Simplifying v = 4
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