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Simplifying 75 + -30v + 60 = 45v + -75 + -90 Reorder the terms: 75 + 60 + -30v = 45v + -75 + -90 Combine like terms: 75 + 60 = 135 135 + -30v = 45v + -75 + -90 Reorder the terms: 135 + -30v = -75 + -90 + 45v Combine like terms: -75 + -90 = -165 135 + -30v = -165 + 45v Solving 135 + -30v = -165 + 45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45v' to each side of the equation. 135 + -30v + -45v = -165 + 45v + -45v Combine like terms: -30v + -45v = -75v 135 + -75v = -165 + 45v + -45v Combine like terms: 45v + -45v = 0 135 + -75v = -165 + 0 135 + -75v = -165 Add '-135' to each side of the equation. 135 + -135 + -75v = -165 + -135 Combine like terms: 135 + -135 = 0 0 + -75v = -165 + -135 -75v = -165 + -135 Combine like terms: -165 + -135 = -300 -75v = -300 Divide each side by '-75'. v = 4 Simplifying v = 4
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