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Simplifying 10(420 + -1v) + 12v = 420(11) (420 * 10 + -1v * 10) + 12v = 420(11) (4200 + -10v) + 12v = 420(11) Combine like terms: -10v + 12v = 2v 4200 + 2v = 420(11) Multiply 420 * 11 4200 + 2v = 4620 Solving 4200 + 2v = 4620 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4200' to each side of the equation. 4200 + -4200 + 2v = 4620 + -4200 Combine like terms: 4200 + -4200 = 0 0 + 2v = 4620 + -4200 2v = 4620 + -4200 Combine like terms: 4620 + -4200 = 420 2v = 420 Divide each side by '2'. v = 210 Simplifying v = 210
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