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Simplifying 12v + -16 + 18v = 4(6v + 9) + 10v Reorder the terms: -16 + 12v + 18v = 4(6v + 9) + 10v Combine like terms: 12v + 18v = 30v -16 + 30v = 4(6v + 9) + 10v Reorder the terms: -16 + 30v = 4(9 + 6v) + 10v -16 + 30v = (9 * 4 + 6v * 4) + 10v -16 + 30v = (36 + 24v) + 10v Combine like terms: 24v + 10v = 34v -16 + 30v = 36 + 34v Solving -16 + 30v = 36 + 34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-34v' to each side of the equation. -16 + 30v + -34v = 36 + 34v + -34v Combine like terms: 30v + -34v = -4v -16 + -4v = 36 + 34v + -34v Combine like terms: 34v + -34v = 0 -16 + -4v = 36 + 0 -16 + -4v = 36 Add '16' to each side of the equation. -16 + 16 + -4v = 36 + 16 Combine like terms: -16 + 16 = 0 0 + -4v = 36 + 16 -4v = 36 + 16 Combine like terms: 36 + 16 = 52 -4v = 52 Divide each side by '-4'. v = -13 Simplifying v = -13
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