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Simplifying 4(v + -4) + 3(6v + 1) = -57 Reorder the terms: 4(-4 + v) + 3(6v + 1) = -57 (-4 * 4 + v * 4) + 3(6v + 1) = -57 (-16 + 4v) + 3(6v + 1) = -57 Reorder the terms: -16 + 4v + 3(1 + 6v) = -57 -16 + 4v + (1 * 3 + 6v * 3) = -57 -16 + 4v + (3 + 18v) = -57 Reorder the terms: -16 + 3 + 4v + 18v = -57 Combine like terms: -16 + 3 = -13 -13 + 4v + 18v = -57 Combine like terms: 4v + 18v = 22v -13 + 22v = -57 Solving -13 + 22v = -57 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 22v = -57 + 13 Combine like terms: -13 + 13 = 0 0 + 22v = -57 + 13 22v = -57 + 13 Combine like terms: -57 + 13 = -44 22v = -44 Divide each side by '22'. v = -2 Simplifying v = -2
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