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Simplifying 3(v + -3) = 4(v + 1) Reorder the terms: 3(-3 + v) = 4(v + 1) (-3 * 3 + v * 3) = 4(v + 1) (-9 + 3v) = 4(v + 1) Reorder the terms: -9 + 3v = 4(1 + v) -9 + 3v = (1 * 4 + v * 4) -9 + 3v = (4 + 4v) Solving -9 + 3v = 4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -9 + 3v + -4v = 4 + 4v + -4v Combine like terms: 3v + -4v = -1v -9 + -1v = 4 + 4v + -4v Combine like terms: 4v + -4v = 0 -9 + -1v = 4 + 0 -9 + -1v = 4 Add '9' to each side of the equation. -9 + 9 + -1v = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 4 + 9 -1v = 4 + 9 Combine like terms: 4 + 9 = 13 -1v = 13 Divide each side by '-1'. v = -13 Simplifying v = -13
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