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Simplifying 7(v + -4) + -4 = -2(-3v + 8) + -5v Reorder the terms: 7(-4 + v) + -4 = -2(-3v + 8) + -5v (-4 * 7 + v * 7) + -4 = -2(-3v + 8) + -5v (-28 + 7v) + -4 = -2(-3v + 8) + -5v Reorder the terms: -28 + -4 + 7v = -2(-3v + 8) + -5v Combine like terms: -28 + -4 = -32 -32 + 7v = -2(-3v + 8) + -5v Reorder the terms: -32 + 7v = -2(8 + -3v) + -5v -32 + 7v = (8 * -2 + -3v * -2) + -5v -32 + 7v = (-16 + 6v) + -5v Combine like terms: 6v + -5v = 1v -32 + 7v = -16 + 1v Solving -32 + 7v = -16 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -32 + 7v + -1v = -16 + 1v + -1v Combine like terms: 7v + -1v = 6v -32 + 6v = -16 + 1v + -1v Combine like terms: 1v + -1v = 0 -32 + 6v = -16 + 0 -32 + 6v = -16 Add '32' to each side of the equation. -32 + 32 + 6v = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = -16 + 32 6v = -16 + 32 Combine like terms: -16 + 32 = 16 6v = 16 Divide each side by '6'. v = 2.666666667 Simplifying v = 2.666666667
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