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Simplifying 4(v + -2v) + -9 = -3(-8v + 3) + -6 Combine like terms: v + -2v = -1v 4(-1v) + -9 = -3(-8v + 3) + -6 Remove parenthesis around (-1v) 4 * -1v + -9 = -3(-8v + 3) + -6 Multiply 4 * -1 -4v + -9 = -3(-8v + 3) + -6 Reorder the terms: -9 + -4v = -3(-8v + 3) + -6 Reorder the terms: -9 + -4v = -3(3 + -8v) + -6 -9 + -4v = (3 * -3 + -8v * -3) + -6 -9 + -4v = (-9 + 24v) + -6 Reorder the terms: -9 + -4v = -9 + -6 + 24v Combine like terms: -9 + -6 = -15 -9 + -4v = -15 + 24v Solving -9 + -4v = -15 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -9 + -4v + -24v = -15 + 24v + -24v Combine like terms: -4v + -24v = -28v -9 + -28v = -15 + 24v + -24v Combine like terms: 24v + -24v = 0 -9 + -28v = -15 + 0 -9 + -28v = -15 Add '9' to each side of the equation. -9 + 9 + -28v = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -28v = -15 + 9 -28v = -15 + 9 Combine like terms: -15 + 9 = -6 -28v = -6 Divide each side by '-28'. v = 0.2142857143 Simplifying v = 0.2142857143
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