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Simplifying 21 = 6r + 5 + -8r Reorder the terms: 21 = 5 + 6r + -8r Combine like terms: 6r + -8r = -2r 21 = 5 + -2r Solving 21 = 5 + -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 + 2r = 5 + -2r + 2r Combine like terms: -2r + 2r = 0 21 + 2r = 5 + 0 21 + 2r = 5 Add '-21' to each side of the equation. 21 + -21 + 2r = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 2r = 5 + -21 2r = 5 + -21 Combine like terms: 5 + -21 = -16 2r = -16 Divide each side by '2'. r = -8 Simplifying r = -8
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