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Simplifying (6r + -13) + (-9r + 6) = 0 Reorder the terms: (-13 + 6r) + (-9r + 6) = 0 Remove parenthesis around (-13 + 6r) -13 + 6r + (-9r + 6) = 0 Reorder the terms: -13 + 6r + (6 + -9r) = 0 Remove parenthesis around (6 + -9r) -13 + 6r + 6 + -9r = 0 Reorder the terms: -13 + 6 + 6r + -9r = 0 Combine like terms: -13 + 6 = -7 -7 + 6r + -9r = 0 Combine like terms: 6r + -9r = -3r -7 + -3r = 0 Solving -7 + -3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = 0 + 7 -3r = 0 + 7 Combine like terms: 0 + 7 = 7 -3r = 7 Divide each side by '-3'. r = -2.333333333 Simplifying r = -2.333333333
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