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Simplifying -7v + -19 = 6(1 + 3v) Reorder the terms: -19 + -7v = 6(1 + 3v) -19 + -7v = (1 * 6 + 3v * 6) -19 + -7v = (6 + 18v) Solving -19 + -7v = 6 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -19 + -7v + -18v = 6 + 18v + -18v Combine like terms: -7v + -18v = -25v -19 + -25v = 6 + 18v + -18v Combine like terms: 18v + -18v = 0 -19 + -25v = 6 + 0 -19 + -25v = 6 Add '19' to each side of the equation. -19 + 19 + -25v = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -25v = 6 + 19 -25v = 6 + 19 Combine like terms: 6 + 19 = 25 -25v = 25 Divide each side by '-25'. v = -1 Simplifying v = -1
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