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Simplifying 6(v + 2) + 4(6v + -3) = 8v + -7v Reorder the terms: 6(2 + v) + 4(6v + -3) = 8v + -7v (2 * 6 + v * 6) + 4(6v + -3) = 8v + -7v (12 + 6v) + 4(6v + -3) = 8v + -7v Reorder the terms: 12 + 6v + 4(-3 + 6v) = 8v + -7v 12 + 6v + (-3 * 4 + 6v * 4) = 8v + -7v 12 + 6v + (-12 + 24v) = 8v + -7v Reorder the terms: 12 + -12 + 6v + 24v = 8v + -7v Combine like terms: 12 + -12 = 0 0 + 6v + 24v = 8v + -7v 6v + 24v = 8v + -7v Combine like terms: 6v + 24v = 30v 30v = 8v + -7v Combine like terms: 8v + -7v = 1v 30v = 1v Solving 30v = 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 30v + -1v = 1v + -1v Combine like terms: 30v + -1v = 29v 29v = 1v + -1v Combine like terms: 1v + -1v = 0 29v = 0 Divide each side by '29'. v = 0 Simplifying v = 0
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