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Simplifying 7(v + 2) + -8 = 8(v + 1) Reorder the terms: 7(2 + v) + -8 = 8(v + 1) (2 * 7 + v * 7) + -8 = 8(v + 1) (14 + 7v) + -8 = 8(v + 1) Reorder the terms: 14 + -8 + 7v = 8(v + 1) Combine like terms: 14 + -8 = 6 6 + 7v = 8(v + 1) Reorder the terms: 6 + 7v = 8(1 + v) 6 + 7v = (1 * 8 + v * 8) 6 + 7v = (8 + 8v) Solving 6 + 7v = 8 + 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. 6 + 7v + -8v = 8 + 8v + -8v Combine like terms: 7v + -8v = -1v 6 + -1v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 6 + -1v = 8 + 0 6 + -1v = 8 Add '-6' to each side of the equation. 6 + -6 + -1v = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 8 + -6 -1v = 8 + -6 Combine like terms: 8 + -6 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2
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