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Simplifying 2(v + 3) + -10 = 6(32 + -3v) Reorder the terms: 2(3 + v) + -10 = 6(32 + -3v) (3 * 2 + v * 2) + -10 = 6(32 + -3v) (6 + 2v) + -10 = 6(32 + -3v) Reorder the terms: 6 + -10 + 2v = 6(32 + -3v) Combine like terms: 6 + -10 = -4 -4 + 2v = 6(32 + -3v) -4 + 2v = (32 * 6 + -3v * 6) -4 + 2v = (192 + -18v) Solving -4 + 2v = 192 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -4 + 2v + 18v = 192 + -18v + 18v Combine like terms: 2v + 18v = 20v -4 + 20v = 192 + -18v + 18v Combine like terms: -18v + 18v = 0 -4 + 20v = 192 + 0 -4 + 20v = 192 Add '4' to each side of the equation. -4 + 4 + 20v = 192 + 4 Combine like terms: -4 + 4 = 0 0 + 20v = 192 + 4 20v = 192 + 4 Combine like terms: 192 + 4 = 196 20v = 196 Divide each side by '20'. v = 9.8 Simplifying v = 9.8
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