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Simplifying -5(3 + -6v) + -3(v + 5) = -57 (3 * -5 + -6v * -5) + -3(v + 5) = -57 (-15 + 30v) + -3(v + 5) = -57 Reorder the terms: -15 + 30v + -3(5 + v) = -57 -15 + 30v + (5 * -3 + v * -3) = -57 -15 + 30v + (-15 + -3v) = -57 Reorder the terms: -15 + -15 + 30v + -3v = -57 Combine like terms: -15 + -15 = -30 -30 + 30v + -3v = -57 Combine like terms: 30v + -3v = 27v -30 + 27v = -57 Solving -30 + 27v = -57 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 27v = -57 + 30 Combine like terms: -30 + 30 = 0 0 + 27v = -57 + 30 27v = -57 + 30 Combine like terms: -57 + 30 = -27 27v = -27 Divide each side by '27'. v = -1 Simplifying v = -1
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