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Simplifying -2(v + -2) * 8 = -3v + 9 Reorder the terms: -2(-2 + v) * 8 = -3v + 9 Reorder the terms for easier multiplication: -2 * 8(-2 + v) = -3v + 9 Multiply -2 * 8 -16(-2 + v) = -3v + 9 (-2 * -16 + v * -16) = -3v + 9 (32 + -16v) = -3v + 9 Reorder the terms: 32 + -16v = 9 + -3v Solving 32 + -16v = 9 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 32 + -16v + 3v = 9 + -3v + 3v Combine like terms: -16v + 3v = -13v 32 + -13v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 32 + -13v = 9 + 0 32 + -13v = 9 Add '-32' to each side of the equation. 32 + -32 + -13v = 9 + -32 Combine like terms: 32 + -32 = 0 0 + -13v = 9 + -32 -13v = 9 + -32 Combine like terms: 9 + -32 = -23 -13v = -23 Divide each side by '-13'. v = 1.769230769 Simplifying v = 1.769230769
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