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Simplifying 6(-3v + 1) = 5(-5 + -2) Reorder the terms: 6(1 + -3v) = 5(-5 + -2) (1 * 6 + -3v * 6) = 5(-5 + -2) (6 + -18v) = 5(-5 + -2) Combine like terms: -5 + -2 = -7 6 + -18v = 5(-7) Multiply 5 * -7 6 + -18v = -35 Solving 6 + -18v = -35 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 + -18v = -35 + -6 Combine like terms: 6 + -6 = 0 0 + -18v = -35 + -6 -18v = -35 + -6 Combine like terms: -35 + -6 = -41 -18v = -41 Divide each side by '-18'. v = 2.277777778 Simplifying v = 2.277777778
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