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Simplifying 7(r + 2) + 8 = 4r + 6 Reorder the terms: 7(2 + r) + 8 = 4r + 6 (2 * 7 + r * 7) + 8 = 4r + 6 (14 + 7r) + 8 = 4r + 6 Reorder the terms: 14 + 8 + 7r = 4r + 6 Combine like terms: 14 + 8 = 22 22 + 7r = 4r + 6 Reorder the terms: 22 + 7r = 6 + 4r Solving 22 + 7r = 6 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 22 + 7r + -4r = 6 + 4r + -4r Combine like terms: 7r + -4r = 3r 22 + 3r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 22 + 3r = 6 + 0 22 + 3r = 6 Add '-22' to each side of the equation. 22 + -22 + 3r = 6 + -22 Combine like terms: 22 + -22 = 0 0 + 3r = 6 + -22 3r = 6 + -22 Combine like terms: 6 + -22 = -16 3r = -16 Divide each side by '3'. r = -5.333333333 Simplifying r = -5.333333333
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