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Simplifying 4v + 36 = -3(v + 9) Reorder the terms: 36 + 4v = -3(v + 9) Reorder the terms: 36 + 4v = -3(9 + v) 36 + 4v = (9 * -3 + v * -3) 36 + 4v = (-27 + -3v) Solving 36 + 4v = -27 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 36 + 4v + 3v = -27 + -3v + 3v Combine like terms: 4v + 3v = 7v 36 + 7v = -27 + -3v + 3v Combine like terms: -3v + 3v = 0 36 + 7v = -27 + 0 36 + 7v = -27 Add '-36' to each side of the equation. 36 + -36 + 7v = -27 + -36 Combine like terms: 36 + -36 = 0 0 + 7v = -27 + -36 7v = -27 + -36 Combine like terms: -27 + -36 = -63 7v = -63 Divide each side by '7'. v = -9 Simplifying v = -9
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