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Simplifying 7(r + 4) = 2 + -1r Reorder the terms: 7(4 + r) = 2 + -1r (4 * 7 + r * 7) = 2 + -1r (28 + 7r) = 2 + -1r Solving 28 + 7r = 2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 28 + 7r + r = 2 + -1r + r Combine like terms: 7r + r = 8r 28 + 8r = 2 + -1r + r Combine like terms: -1r + r = 0 28 + 8r = 2 + 0 28 + 8r = 2 Add '-28' to each side of the equation. 28 + -28 + 8r = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 8r = 2 + -28 8r = 2 + -28 Combine like terms: 2 + -28 = -26 8r = -26 Divide each side by '8'. r = -3.25 Simplifying r = -3.25
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