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Simplifying -3(5v + -5) + 5v = 9 + 2(3v + -6) Reorder the terms: -3(-5 + 5v) + 5v = 9 + 2(3v + -6) (-5 * -3 + 5v * -3) + 5v = 9 + 2(3v + -6) (15 + -15v) + 5v = 9 + 2(3v + -6) Combine like terms: -15v + 5v = -10v 15 + -10v = 9 + 2(3v + -6) Reorder the terms: 15 + -10v = 9 + 2(-6 + 3v) 15 + -10v = 9 + (-6 * 2 + 3v * 2) 15 + -10v = 9 + (-12 + 6v) Combine like terms: 9 + -12 = -3 15 + -10v = -3 + 6v Solving 15 + -10v = -3 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 15 + -10v + -6v = -3 + 6v + -6v Combine like terms: -10v + -6v = -16v 15 + -16v = -3 + 6v + -6v Combine like terms: 6v + -6v = 0 15 + -16v = -3 + 0 15 + -16v = -3 Add '-15' to each side of the equation. 15 + -15 + -16v = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -16v = -3 + -15 -16v = -3 + -15 Combine like terms: -3 + -15 = -18 -16v = -18 Divide each side by '-16'. v = 1.125 Simplifying v = 1.125
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