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Simplifying 9r + -13 + x = -5 + 1r + y Reorder the terms: -13 + 9r + x = -5 + 1r + y Solving -13 + 9r + x = -5 + 1r + y 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. -13 + 9r + -1r + x = -5 + 1r + -1r + y Combine like terms: 9r + -1r = 8r -13 + 8r + x = -5 + 1r + -1r + y Combine like terms: 1r + -1r = 0 -13 + 8r + x = -5 + 0 + y -13 + 8r + x = -5 + y Add '13' to each side of the equation. -13 + 8r + 13 + x = -5 + 13 + y Reorder the terms: -13 + 13 + 8r + x = -5 + 13 + y Combine like terms: -13 + 13 = 0 0 + 8r + x = -5 + 13 + y 8r + x = -5 + 13 + y Combine like terms: -5 + 13 = 8 8r + x = 8 + y Add '-1x' to each side of the equation. 8r + x + -1x = 8 + -1x + y Combine like terms: x + -1x = 0 8r + 0 = 8 + -1x + y 8r = 8 + -1x + y Divide each side by '8'. r = 1 + -0.125x + 0.125y Simplifying r = 1 + -0.125x + 0.125y
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