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Simplifying 7(v + -46) + 20 = 27 Reorder the terms: 7(-46 + v) + 20 = 27 (-46 * 7 + v * 7) + 20 = 27 (-322 + 7v) + 20 = 27 Reorder the terms: -322 + 20 + 7v = 27 Combine like terms: -322 + 20 = -302 -302 + 7v = 27 Solving -302 + 7v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '302' to each side of the equation. -302 + 302 + 7v = 27 + 302 Combine like terms: -302 + 302 = 0 0 + 7v = 27 + 302 7v = 27 + 302 Combine like terms: 27 + 302 = 329 7v = 329 Divide each side by '7'. v = 47 Simplifying v = 47
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