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Simplifying 6(1 + 5v) + -5(3v + -3) = -69 (1 * 6 + 5v * 6) + -5(3v + -3) = -69 (6 + 30v) + -5(3v + -3) = -69 Reorder the terms: 6 + 30v + -5(-3 + 3v) = -69 6 + 30v + (-3 * -5 + 3v * -5) = -69 6 + 30v + (15 + -15v) = -69 Reorder the terms: 6 + 15 + 30v + -15v = -69 Combine like terms: 6 + 15 = 21 21 + 30v + -15v = -69 Combine like terms: 30v + -15v = 15v 21 + 15v = -69 Solving 21 + 15v = -69 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15v = -69 + -21 Combine like terms: 21 + -21 = 0 0 + 15v = -69 + -21 15v = -69 + -21 Combine like terms: -69 + -21 = -90 15v = -90 Divide each side by '15'. v = -6 Simplifying v = -6
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