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Simplifying 2r + -6r + 6 = -1r + -9 Reorder the terms: 6 + 2r + -6r = -1r + -9 Combine like terms: 2r + -6r = -4r 6 + -4r = -1r + -9 Reorder the terms: 6 + -4r = -9 + -1r Solving 6 + -4r = -9 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 6 + -4r + r = -9 + -1r + r Combine like terms: -4r + r = -3r 6 + -3r = -9 + -1r + r Combine like terms: -1r + r = 0 6 + -3r = -9 + 0 6 + -3r = -9 Add '-6' to each side of the equation. 6 + -6 + -3r = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3r = -9 + -6 -3r = -9 + -6 Combine like terms: -9 + -6 = -15 -3r = -15 Divide each side by '-3'. r = 5 Simplifying r = 5
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