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Simplifying 2(15r + 5) + 17 = 7(7r + -18) Reorder the terms: 2(5 + 15r) + 17 = 7(7r + -18) (5 * 2 + 15r * 2) + 17 = 7(7r + -18) (10 + 30r) + 17 = 7(7r + -18) Reorder the terms: 10 + 17 + 30r = 7(7r + -18) Combine like terms: 10 + 17 = 27 27 + 30r = 7(7r + -18) Reorder the terms: 27 + 30r = 7(-18 + 7r) 27 + 30r = (-18 * 7 + 7r * 7) 27 + 30r = (-126 + 49r) Solving 27 + 30r = -126 + 49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49r' to each side of the equation. 27 + 30r + -49r = -126 + 49r + -49r Combine like terms: 30r + -49r = -19r 27 + -19r = -126 + 49r + -49r Combine like terms: 49r + -49r = 0 27 + -19r = -126 + 0 27 + -19r = -126 Add '-27' to each side of the equation. 27 + -27 + -19r = -126 + -27 Combine like terms: 27 + -27 = 0 0 + -19r = -126 + -27 -19r = -126 + -27 Combine like terms: -126 + -27 = -153 -19r = -153 Divide each side by '-19'. r = 8.052631579 Simplifying r = 8.052631579
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