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Simplifying 7 + 8(-1v + 5) = 15 Reorder the terms: 7 + 8(5 + -1v) = 15 7 + (5 * 8 + -1v * 8) = 15 7 + (40 + -8v) = 15 Combine like terms: 7 + 40 = 47 47 + -8v = 15 Solving 47 + -8v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -8v = 15 + -47 Combine like terms: 47 + -47 = 0 0 + -8v = 15 + -47 -8v = 15 + -47 Combine like terms: 15 + -47 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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