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Simplifying 7v + -35 = 8(v + -4) Reorder the terms: -35 + 7v = 8(v + -4) Reorder the terms: -35 + 7v = 8(-4 + v) -35 + 7v = (-4 * 8 + v * 8) -35 + 7v = (-32 + 8v) Solving -35 + 7v = -32 + 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. -35 + 7v + -8v = -32 + 8v + -8v Combine like terms: 7v + -8v = -1v -35 + -1v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 -35 + -1v = -32 + 0 -35 + -1v = -32 Add '35' to each side of the equation. -35 + 35 + -1v = -32 + 35 Combine like terms: -35 + 35 = 0 0 + -1v = -32 + 35 -1v = -32 + 35 Combine like terms: -32 + 35 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3
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