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Simplifying -4(1[v + 3] * 1) = -8v + -36 Reorder the terms: -4(1[3 + v] * 1) = -8v + -36 Reorder the terms for easier multiplication: -4(1 * 1[3 + v]) = -8v + -36 Multiply 1 * 1 -4(1[3 + v]) = -8v + -36 -4([3 * 1 + v * 1]) = -8v + -36 -4([3 + 1v]) = -8v + -36 (3 * -4 + 1v * -4) = -8v + -36 (-12 + -4v) = -8v + -36 Reorder the terms: -12 + -4v = -36 + -8v Solving -12 + -4v = -36 + -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. -12 + -4v + 8v = -36 + -8v + 8v Combine like terms: -4v + 8v = 4v -12 + 4v = -36 + -8v + 8v Combine like terms: -8v + 8v = 0 -12 + 4v = -36 + 0 -12 + 4v = -36 Add '12' to each side of the equation. -12 + 12 + 4v = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = -36 + 12 4v = -36 + 12 Combine like terms: -36 + 12 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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