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Simplifying -5r + 21 = 4r + -15 Reorder the terms: 21 + -5r = 4r + -15 Reorder the terms: 21 + -5r = -15 + 4r Solving 21 + -5r = -15 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 21 + -5r + -4r = -15 + 4r + -4r Combine like terms: -5r + -4r = -9r 21 + -9r = -15 + 4r + -4r Combine like terms: 4r + -4r = 0 21 + -9r = -15 + 0 21 + -9r = -15 Add '-21' to each side of the equation. 21 + -21 + -9r = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -9r = -15 + -21 -9r = -15 + -21 Combine like terms: -15 + -21 = -36 -9r = -36 Divide each side by '-9'. r = 4 Simplifying r = 4
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