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Simplifying -6(8 + 7v) + -4(v + 4) = -64 (8 * -6 + 7v * -6) + -4(v + 4) = -64 (-48 + -42v) + -4(v + 4) = -64 Reorder the terms: -48 + -42v + -4(4 + v) = -64 -48 + -42v + (4 * -4 + v * -4) = -64 -48 + -42v + (-16 + -4v) = -64 Reorder the terms: -48 + -16 + -42v + -4v = -64 Combine like terms: -48 + -16 = -64 -64 + -42v + -4v = -64 Combine like terms: -42v + -4v = -46v -64 + -46v = -64 Add '64' to each side of the equation. -64 + 64 + -46v = -64 + 64 Combine like terms: -64 + 64 = 0 0 + -46v = -64 + 64 -46v = -64 + 64 Combine like terms: -64 + 64 = 0 -46v = 0 Solving -46v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-46'. v = 0 Simplifying v = 0
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