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Simplifying 170 = 5v + 3(6 + -8v) 170 = 5v + (6 * 3 + -8v * 3) 170 = 5v + (18 + -24v) Reorder the terms: 170 = 18 + 5v + -24v Combine like terms: 5v + -24v = -19v 170 = 18 + -19v Solving 170 = 18 + -19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19v' to each side of the equation. 170 + 19v = 18 + -19v + 19v Combine like terms: -19v + 19v = 0 170 + 19v = 18 + 0 170 + 19v = 18 Add '-170' to each side of the equation. 170 + -170 + 19v = 18 + -170 Combine like terms: 170 + -170 = 0 0 + 19v = 18 + -170 19v = 18 + -170 Combine like terms: 18 + -170 = -152 19v = -152 Divide each side by '19'. v = -8 Simplifying v = -8
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