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Simplifying -5(v + 4) + 2v + 52 = 7v + 7 Reorder the terms: -5(4 + v) + 2v + 52 = 7v + 7 (4 * -5 + v * -5) + 2v + 52 = 7v + 7 (-20 + -5v) + 2v + 52 = 7v + 7 Reorder the terms: -20 + 52 + -5v + 2v = 7v + 7 Combine like terms: -20 + 52 = 32 32 + -5v + 2v = 7v + 7 Combine like terms: -5v + 2v = -3v 32 + -3v = 7v + 7 Reorder the terms: 32 + -3v = 7 + 7v Solving 32 + -3v = 7 + 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 + -3v + -7v = 7 + 7v + -7v Combine like terms: -3v + -7v = -10v 32 + -10v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 32 + -10v = 7 + 0 32 + -10v = 7 Add '-32' to each side of the equation. 32 + -32 + -10v = 7 + -32 Combine like terms: 32 + -32 = 0 0 + -10v = 7 + -32 -10v = 7 + -32 Combine like terms: 7 + -32 = -25 -10v = -25 Divide each side by '-10'. v = 2.5 Simplifying v = 2.5
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