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Simplifying -5 = 7(v + -5) Reorder the terms: -5 = 7(-5 + v) -5 = (-5 * 7 + v * 7) -5 = (-35 + 7v) Solving -5 = -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. -5 + -7v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 -5 + -7v = -35 + 0 -5 + -7v = -35 Add '5' to each side of the equation. -5 + 5 + -7v = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -7v = -35 + 5 -7v = -35 + 5 Combine like terms: -35 + 5 = -30 -7v = -30 Divide each side by '-7'. v = 4.285714286 Simplifying v = 4.285714286
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