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Simplifying 5(v + -1) + -4 = -3(-7v + 9) + -6v Reorder the terms: 5(-1 + v) + -4 = -3(-7v + 9) + -6v (-1 * 5 + v * 5) + -4 = -3(-7v + 9) + -6v (-5 + 5v) + -4 = -3(-7v + 9) + -6v Reorder the terms: -5 + -4 + 5v = -3(-7v + 9) + -6v Combine like terms: -5 + -4 = -9 -9 + 5v = -3(-7v + 9) + -6v Reorder the terms: -9 + 5v = -3(9 + -7v) + -6v -9 + 5v = (9 * -3 + -7v * -3) + -6v -9 + 5v = (-27 + 21v) + -6v Combine like terms: 21v + -6v = 15v -9 + 5v = -27 + 15v Solving -9 + 5v = -27 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -9 + 5v + -15v = -27 + 15v + -15v Combine like terms: 5v + -15v = -10v -9 + -10v = -27 + 15v + -15v Combine like terms: 15v + -15v = 0 -9 + -10v = -27 + 0 -9 + -10v = -27 Add '9' to each side of the equation. -9 + 9 + -10v = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = -27 + 9 -10v = -27 + 9 Combine like terms: -27 + 9 = -18 -10v = -18 Divide each side by '-10'. v = 1.8 Simplifying v = 1.8
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