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Simplifying 3 + 8(r + 5) = 2r + 1 Reorder the terms: 3 + 8(5 + r) = 2r + 1 3 + (5 * 8 + r * 8) = 2r + 1 3 + (40 + 8r) = 2r + 1 Combine like terms: 3 + 40 = 43 43 + 8r = 2r + 1 Reorder the terms: 43 + 8r = 1 + 2r Solving 43 + 8r = 1 + 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. 43 + 8r + -2r = 1 + 2r + -2r Combine like terms: 8r + -2r = 6r 43 + 6r = 1 + 2r + -2r Combine like terms: 2r + -2r = 0 43 + 6r = 1 + 0 43 + 6r = 1 Add '-43' to each side of the equation. 43 + -43 + 6r = 1 + -43 Combine like terms: 43 + -43 = 0 0 + 6r = 1 + -43 6r = 1 + -43 Combine like terms: 1 + -43 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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