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Simplifying -100 = -4(-7 + -8v) -100 = (-7 * -4 + -8v * -4) -100 = (28 + 32v) Solving -100 = 28 + 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. -100 + -32v = 28 + 32v + -32v Combine like terms: 32v + -32v = 0 -100 + -32v = 28 + 0 -100 + -32v = 28 Add '100' to each side of the equation. -100 + 100 + -32v = 28 + 100 Combine like terms: -100 + 100 = 0 0 + -32v = 28 + 100 -32v = 28 + 100 Combine like terms: 28 + 100 = 128 -32v = 128 Divide each side by '-32'. v = -4 Simplifying v = -4
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