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Simplifying 9r + 7 = 21r + 10 Reorder the terms: 7 + 9r = 21r + 10 Reorder the terms: 7 + 9r = 10 + 21r Solving 7 + 9r = 10 + 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 + 9r + -21r = 10 + 21r + -21r Combine like terms: 9r + -21r = -12r 7 + -12r = 10 + 21r + -21r Combine like terms: 21r + -21r = 0 7 + -12r = 10 + 0 7 + -12r = 10 Add '-7' to each side of the equation. 7 + -7 + -12r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -12r = 10 + -7 -12r = 10 + -7 Combine like terms: 10 + -7 = 3 -12r = 3 Divide each side by '-12'. r = -0.25 Simplifying r = -0.25
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