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Simplifying -6 = 8v + 7(v + -3) Reorder the terms: -6 = 8v + 7(-3 + v) -6 = 8v + (-3 * 7 + v * 7) -6 = 8v + (-21 + 7v) Reorder the terms: -6 = -21 + 8v + 7v Combine like terms: 8v + 7v = 15v -6 = -21 + 15v Solving -6 = -21 + 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 = -21 + 15v + -15v Combine like terms: 15v + -15v = 0 -6 + -15v = -21 + 0 -6 + -15v = -21 Add '6' to each side of the equation. -6 + 6 + -15v = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -15v = -21 + 6 -15v = -21 + 6 Combine like terms: -21 + 6 = -15 -15v = -15 Divide each side by '-15'. v = 1 Simplifying v = 1
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