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Simplifying 6r + 4 = 21r + 9 Reorder the terms: 4 + 6r = 21r + 9 Reorder the terms: 4 + 6r = 9 + 21r Solving 4 + 6r = 9 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 4 + 6r + -21r = 9 + 21r + -21r Combine like terms: 6r + -21r = -15r 4 + -15r = 9 + 21r + -21r Combine like terms: 21r + -21r = 0 4 + -15r = 9 + 0 4 + -15r = 9 Add '-4' to each side of the equation. 4 + -4 + -15r = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -15r = 9 + -4 -15r = 9 + -4 Combine like terms: 9 + -4 = 5 -15r = 5 Divide each side by '-15'. r = -0.3333333333 Simplifying r = -0.3333333333
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