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Simplifying 3v + -30 = 9(v + -4) Reorder the terms: -30 + 3v = 9(v + -4) Reorder the terms: -30 + 3v = 9(-4 + v) -30 + 3v = (-4 * 9 + v * 9) -30 + 3v = (-36 + 9v) Solving -30 + 3v = -36 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -30 + 3v + -9v = -36 + 9v + -9v Combine like terms: 3v + -9v = -6v -30 + -6v = -36 + 9v + -9v Combine like terms: 9v + -9v = 0 -30 + -6v = -36 + 0 -30 + -6v = -36 Add '30' to each side of the equation. -30 + 30 + -6v = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = -36 + 30 -6v = -36 + 30 Combine like terms: -36 + 30 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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