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Simplifying -9 = 3v + 7(v + 3) Reorder the terms: -9 = 3v + 7(3 + v) -9 = 3v + (3 * 7 + v * 7) -9 = 3v + (21 + 7v) Reorder the terms: -9 = 21 + 3v + 7v Combine like terms: 3v + 7v = 10v -9 = 21 + 10v Solving -9 = 21 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -9 + -10v = 21 + 10v + -10v Combine like terms: 10v + -10v = 0 -9 + -10v = 21 + 0 -9 + -10v = 21 Add '9' to each side of the equation. -9 + 9 + -10v = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = 21 + 9 -10v = 21 + 9 Combine like terms: 21 + 9 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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