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Simplifying 6r + 3 = 8r + -21 Reorder the terms: 3 + 6r = 8r + -21 Reorder the terms: 3 + 6r = -21 + 8r Solving 3 + 6r = -21 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 3 + 6r + -8r = -21 + 8r + -8r Combine like terms: 6r + -8r = -2r 3 + -2r = -21 + 8r + -8r Combine like terms: 8r + -8r = 0 3 + -2r = -21 + 0 3 + -2r = -21 Add '-3' to each side of the equation. 3 + -3 + -2r = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = -21 + -3 -2r = -21 + -3 Combine like terms: -21 + -3 = -24 -2r = -24 Divide each side by '-2'. r = 12 Simplifying r = 12
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