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Simplifying r(4) + 3 = r + 21 Reorder the terms for easier multiplication: 4r + 3 = r + 21 Reorder the terms: 3 + 4r = r + 21 Reorder the terms: 3 + 4r = 21 + r Solving 3 + 4r = 21 + 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. 3 + 4r + -1r = 21 + r + -1r Combine like terms: 4r + -1r = 3r 3 + 3r = 21 + r + -1r Combine like terms: r + -1r = 0 3 + 3r = 21 + 0 3 + 3r = 21 Add '-3' to each side of the equation. 3 + -3 + 3r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 21 + -3 3r = 21 + -3 Combine like terms: 21 + -3 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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