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Simplifying 42r + 84 = 45r + -9 Reorder the terms: 84 + 42r = 45r + -9 Reorder the terms: 84 + 42r = -9 + 45r Solving 84 + 42r = -9 + 45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45r' to each side of the equation. 84 + 42r + -45r = -9 + 45r + -45r Combine like terms: 42r + -45r = -3r 84 + -3r = -9 + 45r + -45r Combine like terms: 45r + -45r = 0 84 + -3r = -9 + 0 84 + -3r = -9 Add '-84' to each side of the equation. 84 + -84 + -3r = -9 + -84 Combine like terms: 84 + -84 = 0 0 + -3r = -9 + -84 -3r = -9 + -84 Combine like terms: -9 + -84 = -93 -3r = -93 Divide each side by '-3'. r = 31 Simplifying r = 31
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