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Simplifying -7v + -19 = 8(v + 7) Reorder the terms: -19 + -7v = 8(v + 7) Reorder the terms: -19 + -7v = 8(7 + v) -19 + -7v = (7 * 8 + v * 8) -19 + -7v = (56 + 8v) Solving -19 + -7v = 56 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -19 + -7v + -8v = 56 + 8v + -8v Combine like terms: -7v + -8v = -15v -19 + -15v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 -19 + -15v = 56 + 0 -19 + -15v = 56 Add '19' to each side of the equation. -19 + 19 + -15v = 56 + 19 Combine like terms: -19 + 19 = 0 0 + -15v = 56 + 19 -15v = 56 + 19 Combine like terms: 56 + 19 = 75 -15v = 75 Divide each side by '-15'. v = -5 Simplifying v = -5
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