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Simplifying -4 + 20 = 7(v + -5) Combine like terms: -4 + 20 = 16 16 = 7(v + -5) Reorder the terms: 16 = 7(-5 + v) 16 = (-5 * 7 + v * 7) 16 = (-35 + 7v) Solving 16 = -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. 16 + -7v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 16 + -7v = -35 + 0 16 + -7v = -35 Add '-16' to each side of the equation. 16 + -16 + -7v = -35 + -16 Combine like terms: 16 + -16 = 0 0 + -7v = -35 + -16 -7v = -35 + -16 Combine like terms: -35 + -16 = -51 -7v = -51 Divide each side by '-7'. v = 7.285714286 Simplifying v = 7.285714286
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