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