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Simplifying 7(v + 8) + 4(4v + -4) = 0 Reorder the terms: 7(8 + v) + 4(4v + -4) = 0 (8 * 7 + v * 7) + 4(4v + -4) = 0 (56 + 7v) + 4(4v + -4) = 0 Reorder the terms: 56 + 7v + 4(-4 + 4v) = 0 56 + 7v + (-4 * 4 + 4v * 4) = 0 56 + 7v + (-16 + 16v) = 0 Reorder the terms: 56 + -16 + 7v + 16v = 0 Combine like terms: 56 + -16 = 40 40 + 7v + 16v = 0 Combine like terms: 7v + 16v = 23v 40 + 23v = 0 Solving 40 + 23v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 23v = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 23v = 0 + -40 23v = 0 + -40 Combine like terms: 0 + -40 = -40 23v = -40 Divide each side by '23'. v = -1.739130435 Simplifying v = -1.739130435
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