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Simplifying 30 = 6 + 7(v + -4) Reorder the terms: 30 = 6 + 7(-4 + v) 30 = 6 + (-4 * 7 + v * 7) 30 = 6 + (-28 + 7v) Combine like terms: 6 + -28 = -22 30 = -22 + 7v Solving 30 = -22 + 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. 30 + -7v = -22 + 7v + -7v Combine like terms: 7v + -7v = 0 30 + -7v = -22 + 0 30 + -7v = -22 Add '-30' to each side of the equation. 30 + -30 + -7v = -22 + -30 Combine like terms: 30 + -30 = 0 0 + -7v = -22 + -30 -7v = -22 + -30 Combine like terms: -22 + -30 = -52 -7v = -52 Divide each side by '-7'. v = 7.428571429 Simplifying v = 7.428571429
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