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Simplifying -63 = 22 + -5(6v + -1) Reorder the terms: -63 = 22 + -5(-1 + 6v) -63 = 22 + (-1 * -5 + 6v * -5) -63 = 22 + (5 + -30v) Combine like terms: 22 + 5 = 27 -63 = 27 + -30v Solving -63 = 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. -63 + 30v = 27 + -30v + 30v Combine like terms: -30v + 30v = 0 -63 + 30v = 27 + 0 -63 + 30v = 27 Add '63' to each side of the equation. -63 + 63 + 30v = 27 + 63 Combine like terms: -63 + 63 = 0 0 + 30v = 27 + 63 30v = 27 + 63 Combine like terms: 27 + 63 = 90 30v = 90 Divide each side by '30'. v = 3 Simplifying v = 3
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