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Simplifying 5(5 + -2v) + -3v = -7(5 + -1v) (5 * 5 + -2v * 5) + -3v = -7(5 + -1v) (25 + -10v) + -3v = -7(5 + -1v) Combine like terms: -10v + -3v = -13v 25 + -13v = -7(5 + -1v) 25 + -13v = (5 * -7 + -1v * -7) 25 + -13v = (-35 + 7v) Solving 25 + -13v = -35 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 25 + -13v + -7v = -35 + 7v + -7v Combine like terms: -13v + -7v = -20v 25 + -20v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 25 + -20v = -35 + 0 25 + -20v = -35 Add '-25' to each side of the equation. 25 + -25 + -20v = -35 + -25 Combine like terms: 25 + -25 = 0 0 + -20v = -35 + -25 -20v = -35 + -25 Combine like terms: -35 + -25 = -60 -20v = -60 Divide each side by '-20'. v = 3 Simplifying v = 3
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