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Simplifying -7(1 + 6v) + 4v = -45 (1 * -7 + 6v * -7) + 4v = -45 (-7 + -42v) + 4v = -45 Combine like terms: -42v + 4v = -38v -7 + -38v = -45 Solving -7 + -38v = -45 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -38v = -45 + 7 Combine like terms: -7 + 7 = 0 0 + -38v = -45 + 7 -38v = -45 + 7 Combine like terms: -45 + 7 = -38 -38v = -38 Divide each side by '-38'. v = 1 Simplifying v = 1
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