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Simplifying 5r + -13 = -40 + 8r Reorder the terms: -13 + 5r = -40 + 8r Solving -13 + 5r = -40 + 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. -13 + 5r + -8r = -40 + 8r + -8r Combine like terms: 5r + -8r = -3r -13 + -3r = -40 + 8r + -8r Combine like terms: 8r + -8r = 0 -13 + -3r = -40 + 0 -13 + -3r = -40 Add '13' to each side of the equation. -13 + 13 + -3r = -40 + 13 Combine like terms: -13 + 13 = 0 0 + -3r = -40 + 13 -3r = -40 + 13 Combine like terms: -40 + 13 = -27 -3r = -27 Divide each side by '-3'. r = 9 Simplifying r = 9
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