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Simplifying 6r + 21 = 2r + -9 Reorder the terms: 21 + 6r = 2r + -9 Reorder the terms: 21 + 6r = -9 + 2r Solving 21 + 6r = -9 + 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. 21 + 6r + -2r = -9 + 2r + -2r Combine like terms: 6r + -2r = 4r 21 + 4r = -9 + 2r + -2r Combine like terms: 2r + -2r = 0 21 + 4r = -9 + 0 21 + 4r = -9 Add '-21' to each side of the equation. 21 + -21 + 4r = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 4r = -9 + -21 4r = -9 + -21 Combine like terms: -9 + -21 = -30 4r = -30 Divide each side by '4'. r = -7.5 Simplifying r = -7.5
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