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Simplifying -61r + -31r + 23r + -47r + 84 = -32 Reorder the terms: 84 + -61r + -31r + 23r + -47r = -32 Combine like terms: -61r + -31r = -92r 84 + -92r + 23r + -47r = -32 Combine like terms: -92r + 23r = -69r 84 + -69r + -47r = -32 Combine like terms: -69r + -47r = -116r 84 + -116r = -32 Solving 84 + -116r = -32 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -116r = -32 + -84 Combine like terms: 84 + -84 = 0 0 + -116r = -32 + -84 -116r = -32 + -84 Combine like terms: -32 + -84 = -116 -116r = -116 Divide each side by '-116'. r = 1 Simplifying r = 1
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