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Simplifying -33 + 8r = 6(4r + 9) Reorder the terms: -33 + 8r = 6(9 + 4r) -33 + 8r = (9 * 6 + 4r * 6) -33 + 8r = (54 + 24r) Solving -33 + 8r = 54 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -33 + 8r + -24r = 54 + 24r + -24r Combine like terms: 8r + -24r = -16r -33 + -16r = 54 + 24r + -24r Combine like terms: 24r + -24r = 0 -33 + -16r = 54 + 0 -33 + -16r = 54 Add '33' to each side of the equation. -33 + 33 + -16r = 54 + 33 Combine like terms: -33 + 33 = 0 0 + -16r = 54 + 33 -16r = 54 + 33 Combine like terms: 54 + 33 = 87 -16r = 87 Divide each side by '-16'. r = -5.4375 Simplifying r = -5.4375
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