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Simplifying 5r + -9 = 8r + -16 Reorder the terms: -9 + 5r = 8r + -16 Reorder the terms: -9 + 5r = -16 + 8r Solving -9 + 5r = -16 + 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. -9 + 5r + -8r = -16 + 8r + -8r Combine like terms: 5r + -8r = -3r -9 + -3r = -16 + 8r + -8r Combine like terms: 8r + -8r = 0 -9 + -3r = -16 + 0 -9 + -3r = -16 Add '9' to each side of the equation. -9 + 9 + -3r = -16 + 9 Combine like terms: -9 + 9 = 0 0 + -3r = -16 + 9 -3r = -16 + 9 Combine like terms: -16 + 9 = -7 -3r = -7 Divide each side by '-3'. r = 2.333333333 Simplifying r = 2.333333333
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