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