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Simplifying -8(v + 1) = 2(1 + -4) + -9 Reorder the terms: -8(1 + v) = 2(1 + -4) + -9 (1 * -8 + v * -8) = 2(1 + -4) + -9 (-8 + -8v) = 2(1 + -4) + -9 Combine like terms: 1 + -4 = -3 -8 + -8v = 2(-3) + -9 Multiply 2 * -3 -8 + -8v = -6 + -9 Combine like terms: -6 + -9 = -15 -8 + -8v = -15 Solving -8 + -8v = -15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8v = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -8v = -15 + 8 -8v = -15 + 8 Combine like terms: -15 + 8 = -7 -8v = -7 Divide each side by '-8'. v = 0.875 Simplifying v = 0.875
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