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Simplifying 10 = 5r + -13r + -46 Reorder the terms: 10 = -46 + 5r + -13r Combine like terms: 5r + -13r = -8r 10 = -46 + -8r Solving 10 = -46 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 10 + 8r = -46 + -8r + 8r Combine like terms: -8r + 8r = 0 10 + 8r = -46 + 0 10 + 8r = -46 Add '-10' to each side of the equation. 10 + -10 + 8r = -46 + -10 Combine like terms: 10 + -10 = 0 0 + 8r = -46 + -10 8r = -46 + -10 Combine like terms: -46 + -10 = -56 8r = -56 Divide each side by '8'. r = -7 Simplifying r = -7
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