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Simplifying 7(v + -4) + -2 = -3(-6v + 9) + -5v Reorder the terms: 7(-4 + v) + -2 = -3(-6v + 9) + -5v (-4 * 7 + v * 7) + -2 = -3(-6v + 9) + -5v (-28 + 7v) + -2 = -3(-6v + 9) + -5v Reorder the terms: -28 + -2 + 7v = -3(-6v + 9) + -5v Combine like terms: -28 + -2 = -30 -30 + 7v = -3(-6v + 9) + -5v Reorder the terms: -30 + 7v = -3(9 + -6v) + -5v -30 + 7v = (9 * -3 + -6v * -3) + -5v -30 + 7v = (-27 + 18v) + -5v Combine like terms: 18v + -5v = 13v -30 + 7v = -27 + 13v Solving -30 + 7v = -27 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -30 + 7v + -13v = -27 + 13v + -13v Combine like terms: 7v + -13v = -6v -30 + -6v = -27 + 13v + -13v Combine like terms: 13v + -13v = 0 -30 + -6v = -27 + 0 -30 + -6v = -27 Add '30' to each side of the equation. -30 + 30 + -6v = -27 + 30 Combine like terms: -30 + 30 = 0 0 + -6v = -27 + 30 -6v = -27 + 30 Combine like terms: -27 + 30 = 3 -6v = 3 Divide each side by '-6'. v = -0.5 Simplifying v = -0.5
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