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Simplifying 84 = 3 + 3(-7r + 6) Reorder the terms: 84 = 3 + 3(6 + -7r) 84 = 3 + (6 * 3 + -7r * 3) 84 = 3 + (18 + -21r) Combine like terms: 3 + 18 = 21 84 = 21 + -21r Solving 84 = 21 + -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. 84 + 21r = 21 + -21r + 21r Combine like terms: -21r + 21r = 0 84 + 21r = 21 + 0 84 + 21r = 21 Add '-84' to each side of the equation. 84 + -84 + 21r = 21 + -84 Combine like terms: 84 + -84 = 0 0 + 21r = 21 + -84 21r = 21 + -84 Combine like terms: 21 + -84 = -63 21r = -63 Divide each side by '21'. r = -3 Simplifying r = -3
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