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Simplifying 216 = 9 + -9(7 + -6r) 216 = 9 + (7 * -9 + -6r * -9) 216 = 9 + (-63 + 54r) Combine like terms: 9 + -63 = -54 216 = -54 + 54r Solving 216 = -54 + 54r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-54r' to each side of the equation. 216 + -54r = -54 + 54r + -54r Combine like terms: 54r + -54r = 0 216 + -54r = -54 + 0 216 + -54r = -54 Add '-216' to each side of the equation. 216 + -216 + -54r = -54 + -216 Combine like terms: 216 + -216 = 0 0 + -54r = -54 + -216 -54r = -54 + -216 Combine like terms: -54 + -216 = -270 -54r = -270 Divide each side by '-54'. r = 5 Simplifying r = 5
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