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Simplifying -57 = -6(4 + 5v) + -3 -57 = (4 * -6 + 5v * -6) + -3 -57 = (-24 + -30v) + -3 Reorder the terms: -57 = -24 + -3 + -30v Combine like terms: -24 + -3 = -27 -57 = -27 + -30v Solving -57 = -27 + -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. -57 + 30v = -27 + -30v + 30v Combine like terms: -30v + 30v = 0 -57 + 30v = -27 + 0 -57 + 30v = -27 Add '57' to each side of the equation. -57 + 57 + 30v = -27 + 57 Combine like terms: -57 + 57 = 0 0 + 30v = -27 + 57 30v = -27 + 57 Combine like terms: -27 + 57 = 30 30v = 30 Divide each side by '30'. v = 1 Simplifying v = 1
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