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Simplifying 29 + 8v = -5(-6v + -2) + -3 Reorder the terms: 29 + 8v = -5(-2 + -6v) + -3 29 + 8v = (-2 * -5 + -6v * -5) + -3 29 + 8v = (10 + 30v) + -3 Reorder the terms: 29 + 8v = 10 + -3 + 30v Combine like terms: 10 + -3 = 7 29 + 8v = 7 + 30v Solving 29 + 8v = 7 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 29 + 8v + -30v = 7 + 30v + -30v Combine like terms: 8v + -30v = -22v 29 + -22v = 7 + 30v + -30v Combine like terms: 30v + -30v = 0 29 + -22v = 7 + 0 29 + -22v = 7 Add '-29' to each side of the equation. 29 + -29 + -22v = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -22v = 7 + -29 -22v = 7 + -29 Combine like terms: 7 + -29 = -22 -22v = -22 Divide each side by '-22'. v = 1 Simplifying v = 1
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