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Simplifying 63 = 2k + (r + -1k) + r + (r + -1k) Reorder the terms: 63 = 2k + (-1k + r) + r + (r + -1k) Remove parenthesis around (-1k + r) 63 = 2k + -1k + r + r + (r + -1k) Reorder the terms: 63 = 2k + -1k + r + r + (-1k + r) Remove parenthesis around (-1k + r) 63 = 2k + -1k + r + r + -1k + r Reorder the terms: 63 = 2k + -1k + -1k + r + r + r Combine like terms: 2k + -1k = 1k 63 = 1k + -1k + r + r + r Combine like terms: 1k + -1k = 0 63 = 0 + r + r + r 63 = r + r + r Combine like terms: r + r = 2r 63 = 2r + r Combine like terms: 2r + r = 3r 63 = 3r Solving 63 = 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. 63 + -3r = 3r + -3r Combine like terms: 3r + -3r = 0 63 + -3r = 0 Add '-63' to each side of the equation. 63 + -63 + -3r = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -3r = 0 + -63 -3r = 0 + -63 Combine like terms: 0 + -63 = -63 -3r = -63 Divide each side by '-3'. r = 21 Simplifying r = 21
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