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Simplifying 5v + -45 = 10v + -90 Reorder the terms: -45 + 5v = 10v + -90 Reorder the terms: -45 + 5v = -90 + 10v Solving -45 + 5v = -90 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -45 + 5v + -10v = -90 + 10v + -10v Combine like terms: 5v + -10v = -5v -45 + -5v = -90 + 10v + -10v Combine like terms: 10v + -10v = 0 -45 + -5v = -90 + 0 -45 + -5v = -90 Add '45' to each side of the equation. -45 + 45 + -5v = -90 + 45 Combine like terms: -45 + 45 = 0 0 + -5v = -90 + 45 -5v = -90 + 45 Combine like terms: -90 + 45 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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