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Simplifying 2(v + -2) + -5 = -3(-5v + 9) + -5v Reorder the terms: 2(-2 + v) + -5 = -3(-5v + 9) + -5v (-2 * 2 + v * 2) + -5 = -3(-5v + 9) + -5v (-4 + 2v) + -5 = -3(-5v + 9) + -5v Reorder the terms: -4 + -5 + 2v = -3(-5v + 9) + -5v Combine like terms: -4 + -5 = -9 -9 + 2v = -3(-5v + 9) + -5v Reorder the terms: -9 + 2v = -3(9 + -5v) + -5v -9 + 2v = (9 * -3 + -5v * -3) + -5v -9 + 2v = (-27 + 15v) + -5v Combine like terms: 15v + -5v = 10v -9 + 2v = -27 + 10v Solving -9 + 2v = -27 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -9 + 2v + -10v = -27 + 10v + -10v Combine like terms: 2v + -10v = -8v -9 + -8v = -27 + 10v + -10v Combine like terms: 10v + -10v = 0 -9 + -8v = -27 + 0 -9 + -8v = -27 Add '9' to each side of the equation. -9 + 9 + -8v = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -8v = -27 + 9 -8v = -27 + 9 Combine like terms: -27 + 9 = -18 -8v = -18 Divide each side by '-8'. v = 2.25 Simplifying v = 2.25
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