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Simplifying 7(8r + 4) = -33 + 3r Reorder the terms: 7(4 + 8r) = -33 + 3r (4 * 7 + 8r * 7) = -33 + 3r (28 + 56r) = -33 + 3r Solving 28 + 56r = -33 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 28 + 56r + -3r = -33 + 3r + -3r Combine like terms: 56r + -3r = 53r 28 + 53r = -33 + 3r + -3r Combine like terms: 3r + -3r = 0 28 + 53r = -33 + 0 28 + 53r = -33 Add '-28' to each side of the equation. 28 + -28 + 53r = -33 + -28 Combine like terms: 28 + -28 = 0 0 + 53r = -33 + -28 53r = -33 + -28 Combine like terms: -33 + -28 = -61 53r = -61 Divide each side by '53'. r = -1.150943396 Simplifying r = -1.150943396
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