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Simplifying -8(v + 4) + 4 + 6 = 7v + 11 Reorder the terms: -8(4 + v) + 4 + 6 = 7v + 11 (4 * -8 + v * -8) + 4 + 6 = 7v + 11 (-32 + -8v) + 4 + 6 = 7v + 11 Reorder the terms: -32 + 4 + 6 + -8v = 7v + 11 Combine like terms: -32 + 4 = -28 -28 + 6 + -8v = 7v + 11 Combine like terms: -28 + 6 = -22 -22 + -8v = 7v + 11 Reorder the terms: -22 + -8v = 11 + 7v Solving -22 + -8v = 11 + 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. -22 + -8v + -7v = 11 + 7v + -7v Combine like terms: -8v + -7v = -15v -22 + -15v = 11 + 7v + -7v Combine like terms: 7v + -7v = 0 -22 + -15v = 11 + 0 -22 + -15v = 11 Add '22' to each side of the equation. -22 + 22 + -15v = 11 + 22 Combine like terms: -22 + 22 = 0 0 + -15v = 11 + 22 -15v = 11 + 22 Combine like terms: 11 + 22 = 33 -15v = 33 Divide each side by '-15'. v = -2.2 Simplifying v = -2.2
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