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Simplifying 5(3 + -2v) + -6v = 5v + -111 (3 * 5 + -2v * 5) + -6v = 5v + -111 (15 + -10v) + -6v = 5v + -111 Combine like terms: -10v + -6v = -16v 15 + -16v = 5v + -111 Reorder the terms: 15 + -16v = -111 + 5v Solving 15 + -16v = -111 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 15 + -16v + -5v = -111 + 5v + -5v Combine like terms: -16v + -5v = -21v 15 + -21v = -111 + 5v + -5v Combine like terms: 5v + -5v = 0 15 + -21v = -111 + 0 15 + -21v = -111 Add '-15' to each side of the equation. 15 + -15 + -21v = -111 + -15 Combine like terms: 15 + -15 = 0 0 + -21v = -111 + -15 -21v = -111 + -15 Combine like terms: -111 + -15 = -126 -21v = -126 Divide each side by '-21'. v = 6 Simplifying v = 6
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