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Simplifying 4 + 7r = 4(r + 7) Reorder the terms: 4 + 7r = 4(7 + r) 4 + 7r = (7 * 4 + r * 4) 4 + 7r = (28 + 4r) Solving 4 + 7r = 28 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 7r + -4r = 28 + 4r + -4r Combine like terms: 7r + -4r = 3r 4 + 3r = 28 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + 3r = 28 + 0 4 + 3r = 28 Add '-4' to each side of the equation. 4 + -4 + 3r = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 28 + -4 3r = 28 + -4 Combine like terms: 28 + -4 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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