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Simplifying 4 + 6(v + -2) = -18 + 8v Reorder the terms: 4 + 6(-2 + v) = -18 + 8v 4 + (-2 * 6 + v * 6) = -18 + 8v 4 + (-12 + 6v) = -18 + 8v Combine like terms: 4 + -12 = -8 -8 + 6v = -18 + 8v Solving -8 + 6v = -18 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -8 + 6v + -8v = -18 + 8v + -8v Combine like terms: 6v + -8v = -2v -8 + -2v = -18 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -2v = -18 + 0 -8 + -2v = -18 Add '8' to each side of the equation. -8 + 8 + -2v = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = -18 + 8 -2v = -18 + 8 Combine like terms: -18 + 8 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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