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Simplifying 8(r + 11) = 12r Reorder the terms: 8(11 + r) = 12r (11 * 8 + r * 8) = 12r (88 + 8r) = 12r Solving 88 + 8r = 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. 88 + 8r + -12r = 12r + -12r Combine like terms: 8r + -12r = -4r 88 + -4r = 12r + -12r Combine like terms: 12r + -12r = 0 88 + -4r = 0 Add '-88' to each side of the equation. 88 + -88 + -4r = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -4r = 0 + -88 -4r = 0 + -88 Combine like terms: 0 + -88 = -88 -4r = -88 Divide each side by '-4'. r = 22 Simplifying r = 22
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