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Simplifying 8(r + 2) + 6 = 2(r + 1) Reorder the terms: 8(2 + r) + 6 = 2(r + 1) (2 * 8 + r * 8) + 6 = 2(r + 1) (16 + 8r) + 6 = 2(r + 1) Reorder the terms: 16 + 6 + 8r = 2(r + 1) Combine like terms: 16 + 6 = 22 22 + 8r = 2(r + 1) Reorder the terms: 22 + 8r = 2(1 + r) 22 + 8r = (1 * 2 + r * 2) 22 + 8r = (2 + 2r) Solving 22 + 8r = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 22 + 8r + -2r = 2 + 2r + -2r Combine like terms: 8r + -2r = 6r 22 + 6r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 22 + 6r = 2 + 0 22 + 6r = 2 Add '-22' to each side of the equation. 22 + -22 + 6r = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 6r = 2 + -22 6r = 2 + -22 Combine like terms: 2 + -22 = -20 6r = -20 Divide each side by '6'. r = -3.333333333 Simplifying r = -3.333333333
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