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Simplifying -31 + -4v = -7(5v + -3) Reorder the terms: -31 + -4v = -7(-3 + 5v) -31 + -4v = (-3 * -7 + 5v * -7) -31 + -4v = (21 + -35v) Solving -31 + -4v = 21 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -31 + -4v + 35v = 21 + -35v + 35v Combine like terms: -4v + 35v = 31v -31 + 31v = 21 + -35v + 35v Combine like terms: -35v + 35v = 0 -31 + 31v = 21 + 0 -31 + 31v = 21 Add '31' to each side of the equation. -31 + 31 + 31v = 21 + 31 Combine like terms: -31 + 31 = 0 0 + 31v = 21 + 31 31v = 21 + 31 Combine like terms: 21 + 31 = 52 31v = 52 Divide each side by '31'. v = 1.677419355 Simplifying v = 1.677419355
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