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Simplifying 4(v + 8) = 7v + 11 Reorder the terms: 4(8 + v) = 7v + 11 (8 * 4 + v * 4) = 7v + 11 (32 + 4v) = 7v + 11 Reorder the terms: 32 + 4v = 11 + 7v Solving 32 + 4v = 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. 32 + 4v + -7v = 11 + 7v + -7v Combine like terms: 4v + -7v = -3v 32 + -3v = 11 + 7v + -7v Combine like terms: 7v + -7v = 0 32 + -3v = 11 + 0 32 + -3v = 11 Add '-32' to each side of the equation. 32 + -32 + -3v = 11 + -32 Combine like terms: 32 + -32 = 0 0 + -3v = 11 + -32 -3v = 11 + -32 Combine like terms: 11 + -32 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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