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Simplifying 7(3r + 9 + 3s) = 0 Reorder the terms: 7(9 + 3r + 3s) = 0 (9 * 7 + 3r * 7 + 3s * 7) = 0 (63 + 21r + 21s) = 0 Solving 63 + 21r + 21s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 21r + -63 + 21s = 0 + -63 Reorder the terms: 63 + -63 + 21r + 21s = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 21r + 21s = 0 + -63 21r + 21s = 0 + -63 Combine like terms: 0 + -63 = -63 21r + 21s = -63 Add '-21s' to each side of the equation. 21r + 21s + -21s = -63 + -21s Combine like terms: 21s + -21s = 0 21r + 0 = -63 + -21s 21r = -63 + -21s Divide each side by '21'. r = -3 + -1s Simplifying r = -3 + -1s
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