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Simplifying 9r + -10 = 46 + r Reorder the terms: -10 + 9r = 46 + r Solving -10 + 9r = 46 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -10 + 9r + -1r = 46 + r + -1r Combine like terms: 9r + -1r = 8r -10 + 8r = 46 + r + -1r Combine like terms: r + -1r = 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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