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Simplifying -13r + 17r + -18r + 12r + 9 = -19 Reorder the terms: 9 + -13r + 17r + -18r + 12r = -19 Combine like terms: -13r + 17r = 4r 9 + 4r + -18r + 12r = -19 Combine like terms: 4r + -18r = -14r 9 + -14r + 12r = -19 Combine like terms: -14r + 12r = -2r 9 + -2r = -19 Solving 9 + -2r = -19 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2r = -19 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = -19 + -9 -2r = -19 + -9 Combine like terms: -19 + -9 = -28 -2r = -28 Divide each side by '-2'. r = 14 Simplifying r = 14
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