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Simplifying 21 + 7v = -5(1 + -4v) 21 + 7v = (1 * -5 + -4v * -5) 21 + 7v = (-5 + 20v) Solving 21 + 7v = -5 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 21 + 7v + -20v = -5 + 20v + -20v Combine like terms: 7v + -20v = -13v 21 + -13v = -5 + 20v + -20v Combine like terms: 20v + -20v = 0 21 + -13v = -5 + 0 21 + -13v = -5 Add '-21' to each side of the equation. 21 + -21 + -13v = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -13v = -5 + -21 -13v = -5 + -21 Combine like terms: -5 + -21 = -26 -13v = -26 Divide each side by '-13'. v = 2 Simplifying v = 2
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