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Simplifying 6 = 7v + 8(v + -3) Reorder the terms: 6 = 7v + 8(-3 + v) 6 = 7v + (-3 * 8 + v * 8) 6 = 7v + (-24 + 8v) Reorder the terms: 6 = -24 + 7v + 8v Combine like terms: 7v + 8v = 15v 6 = -24 + 15v Solving 6 = -24 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 6 + -15v = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 6 + -15v = -24 + 0 6 + -15v = -24 Add '-6' to each side of the equation. 6 + -6 + -15v = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -15v = -24 + -6 -15v = -24 + -6 Combine like terms: -24 + -6 = -30 -15v = -30 Divide each side by '-15'. v = 2 Simplifying v = 2
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