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Simplifying 5(V + -6) = 8V + -33 Reorder the terms: 5(-6 + V) = 8V + -33 (-6 * 5 + V * 5) = 8V + -33 (-30 + 5V) = 8V + -33 Reorder the terms: -30 + 5V = -33 + 8V Solving -30 + 5V = -33 + 8V Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-8V' to each side of the equation. -30 + 5V + -8V = -33 + 8V + -8V Combine like terms: 5V + -8V = -3V -30 + -3V = -33 + 8V + -8V Combine like terms: 8V + -8V = 0 -30 + -3V = -33 + 0 -30 + -3V = -33 Add '30' to each side of the equation. -30 + 30 + -3V = -33 + 30 Combine like terms: -30 + 30 = 0 0 + -3V = -33 + 30 -3V = -33 + 30 Combine like terms: -33 + 30 = -3 -3V = -3 Divide each side by '-3'. V = 1 Simplifying V = 1
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