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Simplifying 45r + -2 = 54r + -75 Reorder the terms: -2 + 45r = 54r + -75 Reorder the terms: -2 + 45r = -75 + 54r Solving -2 + 45r = -75 + 54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-54r' to each side of the equation. -2 + 45r + -54r = -75 + 54r + -54r Combine like terms: 45r + -54r = -9r -2 + -9r = -75 + 54r + -54r Combine like terms: 54r + -54r = 0 -2 + -9r = -75 + 0 -2 + -9r = -75 Add '2' to each side of the equation. -2 + 2 + -9r = -75 + 2 Combine like terms: -2 + 2 = 0 0 + -9r = -75 + 2 -9r = -75 + 2 Combine like terms: -75 + 2 = -73 -9r = -73 Divide each side by '-9'. r = 8.111111111 Simplifying r = 8.111111111
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