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Simplifying 27 = 3(v + -4) + -6 Reorder the terms: 27 = 3(-4 + v) + -6 27 = (-4 * 3 + v * 3) + -6 27 = (-12 + 3v) + -6 Reorder the terms: 27 = -12 + -6 + 3v Combine like terms: -12 + -6 = -18 27 = -18 + 3v Solving 27 = -18 + 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. 27 + -3v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 27 + -3v = -18 + 0 27 + -3v = -18 Add '-27' to each side of the equation. 27 + -27 + -3v = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -3v = -18 + -27 -3v = -18 + -27 Combine like terms: -18 + -27 = -45 -3v = -45 Divide each side by '-3'. v = 15 Simplifying v = 15
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