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Simplifying -2r + 15 + 4r = 6r + -9 Reorder the terms: 15 + -2r + 4r = 6r + -9 Combine like terms: -2r + 4r = 2r 15 + 2r = 6r + -9 Reorder the terms: 15 + 2r = -9 + 6r Solving 15 + 2r = -9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 15 + 2r + -6r = -9 + 6r + -6r Combine like terms: 2r + -6r = -4r 15 + -4r = -9 + 6r + -6r Combine like terms: 6r + -6r = 0 15 + -4r = -9 + 0 15 + -4r = -9 Add '-15' to each side of the equation. 15 + -15 + -4r = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -4r = -9 + -15 -4r = -9 + -15 Combine like terms: -9 + -15 = -24 -4r = -24 Divide each side by '-4'. r = 6 Simplifying r = 6
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