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Simplifying -4v + 6(7v + 4) = 8v + -36 Reorder the terms: -4v + 6(4 + 7v) = 8v + -36 -4v + (4 * 6 + 7v * 6) = 8v + -36 -4v + (24 + 42v) = 8v + -36 Reorder the terms: 24 + -4v + 42v = 8v + -36 Combine like terms: -4v + 42v = 38v 24 + 38v = 8v + -36 Reorder the terms: 24 + 38v = -36 + 8v Solving 24 + 38v = -36 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24 + 38v + -8v = -36 + 8v + -8v Combine like terms: 38v + -8v = 30v 24 + 30v = -36 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + 30v = -36 + 0 24 + 30v = -36 Add '-24' to each side of the equation. 24 + -24 + 30v = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 30v = -36 + -24 30v = -36 + -24 Combine like terms: -36 + -24 = -60 30v = -60 Divide each side by '30'. v = -2 Simplifying v = -2
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