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Simplifying 6r + 7 = 21r + 12 Reorder the terms: 7 + 6r = 21r + 12 Reorder the terms: 7 + 6r = 12 + 21r Solving 7 + 6r = 12 + 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. 7 + 6r + -21r = 12 + 21r + -21r Combine like terms: 6r + -21r = -15r 7 + -15r = 12 + 21r + -21r Combine like terms: 21r + -21r = 0 7 + -15r = 12 + 0 7 + -15r = 12 Add '-7' to each side of the equation. 7 + -7 + -15r = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -15r = 12 + -7 -15r = 12 + -7 Combine like terms: 12 + -7 = 5 -15r = 5 Divide each side by '-15'. r = -0.3333333333 Simplifying r = -0.3333333333
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