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Simplifying 84 = 3(4 + 3r) 84 = (4 * 3 + 3r * 3) 84 = (12 + 9r) Solving 84 = 12 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 84 + -9r = 12 + 9r + -9r Combine like terms: 9r + -9r = 0 84 + -9r = 12 + 0 84 + -9r = 12 Add '-84' to each side of the equation. 84 + -84 + -9r = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -9r = 12 + -84 -9r = 12 + -84 Combine like terms: 12 + -84 = -72 -9r = -72 Divide each side by '-9'. r = 8 Simplifying r = 8
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