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Simplifying -92 = 5v + -6(7v + 3) Reorder the terms: -92 = 5v + -6(3 + 7v) -92 = 5v + (3 * -6 + 7v * -6) -92 = 5v + (-18 + -42v) Reorder the terms: -92 = -18 + 5v + -42v Combine like terms: 5v + -42v = -37v -92 = -18 + -37v Solving -92 = -18 + -37v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '37v' to each side of the equation. -92 + 37v = -18 + -37v + 37v Combine like terms: -37v + 37v = 0 -92 + 37v = -18 + 0 -92 + 37v = -18 Add '92' to each side of the equation. -92 + 92 + 37v = -18 + 92 Combine like terms: -92 + 92 = 0 0 + 37v = -18 + 92 37v = -18 + 92 Combine like terms: -18 + 92 = 74 37v = 74 Divide each side by '37'. v = 2 Simplifying v = 2
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