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Simplifying 4v + -7 = 9(v + -3) Reorder the terms: -7 + 4v = 9(v + -3) Reorder the terms: -7 + 4v = 9(-3 + v) -7 + 4v = (-3 * 9 + v * 9) -7 + 4v = (-27 + 9v) Solving -7 + 4v = -27 + 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. -7 + 4v + -9v = -27 + 9v + -9v Combine like terms: 4v + -9v = -5v -7 + -5v = -27 + 9v + -9v Combine like terms: 9v + -9v = 0 -7 + -5v = -27 + 0 -7 + -5v = -27 Add '7' to each side of the equation. -7 + 7 + -5v = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = -27 + 7 -5v = -27 + 7 Combine like terms: -27 + 7 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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