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Simplifying 5(-9v + 18) + 16v = -19v + -17 + -13 Reorder the terms: 5(18 + -9v) + 16v = -19v + -17 + -13 (18 * 5 + -9v * 5) + 16v = -19v + -17 + -13 (90 + -45v) + 16v = -19v + -17 + -13 Combine like terms: -45v + 16v = -29v 90 + -29v = -19v + -17 + -13 Reorder the terms: 90 + -29v = -17 + -13 + -19v Combine like terms: -17 + -13 = -30 90 + -29v = -30 + -19v Solving 90 + -29v = -30 + -19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19v' to each side of the equation. 90 + -29v + 19v = -30 + -19v + 19v Combine like terms: -29v + 19v = -10v 90 + -10v = -30 + -19v + 19v Combine like terms: -19v + 19v = 0 90 + -10v = -30 + 0 90 + -10v = -30 Add '-90' to each side of the equation. 90 + -90 + -10v = -30 + -90 Combine like terms: 90 + -90 = 0 0 + -10v = -30 + -90 -10v = -30 + -90 Combine like terms: -30 + -90 = -120 -10v = -120 Divide each side by '-10'. v = 12 Simplifying v = 12
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