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Simplifying 11(r + 6) = 12r + 52 Reorder the terms: 11(6 + r) = 12r + 52 (6 * 11 + r * 11) = 12r + 52 (66 + 11r) = 12r + 52 Reorder the terms: 66 + 11r = 52 + 12r Solving 66 + 11r = 52 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 66 + 11r + -12r = 52 + 12r + -12r Combine like terms: 11r + -12r = -1r 66 + -1r = 52 + 12r + -12r Combine like terms: 12r + -12r = 0 66 + -1r = 52 + 0 66 + -1r = 52 Add '-66' to each side of the equation. 66 + -66 + -1r = 52 + -66 Combine like terms: 66 + -66 = 0 0 + -1r = 52 + -66 -1r = 52 + -66 Combine like terms: 52 + -66 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14
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