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Simplifying 6v + 40 = 8(v + 7) Reorder the terms: 40 + 6v = 8(v + 7) Reorder the terms: 40 + 6v = 8(7 + v) 40 + 6v = (7 * 8 + v * 8) 40 + 6v = (56 + 8v) Solving 40 + 6v = 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. 40 + 6v + -8v = 56 + 8v + -8v Combine like terms: 6v + -8v = -2v 40 + -2v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 40 + -2v = 56 + 0 40 + -2v = 56 Add '-40' to each side of the equation. 40 + -40 + -2v = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -2v = 56 + -40 -2v = 56 + -40 Combine like terms: 56 + -40 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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