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