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Simplifying 4v + -30 = 7v + -63 Reorder the terms: -30 + 4v = 7v + -63 Reorder the terms: -30 + 4v = -63 + 7v Solving -30 + 4v = -63 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -30 + 4v + -7v = -63 + 7v + -7v Combine like terms: 4v + -7v = -3v -30 + -3v = -63 + 7v + -7v Combine like terms: 7v + -7v = 0 -30 + -3v = -63 + 0 -30 + -3v = -63 Add '30' to each side of the equation. -30 + 30 + -3v = -63 + 30 Combine like terms: -30 + 30 = 0 0 + -3v = -63 + 30 -3v = -63 + 30 Combine like terms: -63 + 30 = -33 -3v = -33 Divide each side by '-3'. v = 11 Simplifying v = 11
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