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Simplifying -5r + -9 = -2r + 12 Reorder the terms: -9 + -5r = -2r + 12 Reorder the terms: -9 + -5r = 12 + -2r Solving -9 + -5r = 12 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -9 + -5r + 2r = 12 + -2r + 2r Combine like terms: -5r + 2r = -3r -9 + -3r = 12 + -2r + 2r Combine like terms: -2r + 2r = 0 -9 + -3r = 12 + 0 -9 + -3r = 12 Add '9' to each side of the equation. -9 + 9 + -3r = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3r = 12 + 9 -3r = 12 + 9 Combine like terms: 12 + 9 = 21 -3r = 21 Divide each side by '-3'. r = -7 Simplifying r = -7
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