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Simplifying -2r + 5 = 7(3r + 4) Reorder the terms: 5 + -2r = 7(3r + 4) Reorder the terms: 5 + -2r = 7(4 + 3r) 5 + -2r = (4 * 7 + 3r * 7) 5 + -2r = (28 + 21r) Solving 5 + -2r = 28 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 5 + -2r + -21r = 28 + 21r + -21r Combine like terms: -2r + -21r = -23r 5 + -23r = 28 + 21r + -21r Combine like terms: 21r + -21r = 0 5 + -23r = 28 + 0 5 + -23r = 28 Add '-5' to each side of the equation. 5 + -5 + -23r = 28 + -5 Combine like terms: 5 + -5 = 0 0 + -23r = 28 + -5 -23r = 28 + -5 Combine like terms: 28 + -5 = 23 -23r = 23 Divide each side by '-23'. r = -1 Simplifying r = -1
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