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Simplifying -6(1 + 7v) + 8v = -176 (1 * -6 + 7v * -6) + 8v = -176 (-6 + -42v) + 8v = -176 Combine like terms: -42v + 8v = -34v -6 + -34v = -176 Solving -6 + -34v = -176 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -34v = -176 + 6 Combine like terms: -6 + 6 = 0 0 + -34v = -176 + 6 -34v = -176 + 6 Combine like terms: -176 + 6 = -170 -34v = -170 Divide each side by '-34'. v = 5 Simplifying v = 5
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