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Simplifying -4(-2v + 7) + -9v = 7(v + -3) + -3 Reorder the terms: -4(7 + -2v) + -9v = 7(v + -3) + -3 (7 * -4 + -2v * -4) + -9v = 7(v + -3) + -3 (-28 + 8v) + -9v = 7(v + -3) + -3 Combine like terms: 8v + -9v = -1v -28 + -1v = 7(v + -3) + -3 Reorder the terms: -28 + -1v = 7(-3 + v) + -3 -28 + -1v = (-3 * 7 + v * 7) + -3 -28 + -1v = (-21 + 7v) + -3 Reorder the terms: -28 + -1v = -21 + -3 + 7v Combine like terms: -21 + -3 = -24 -28 + -1v = -24 + 7v Solving -28 + -1v = -24 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -28 + -1v + -7v = -24 + 7v + -7v Combine like terms: -1v + -7v = -8v -28 + -8v = -24 + 7v + -7v Combine like terms: 7v + -7v = 0 -28 + -8v = -24 + 0 -28 + -8v = -24 Add '28' to each side of the equation. -28 + 28 + -8v = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -8v = -24 + 28 -8v = -24 + 28 Combine like terms: -24 + 28 = 4 -8v = 4 Divide each side by '-8'. v = -0.5 Simplifying v = -0.5
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