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Simplifying 194 = 6(4r + 7) + 8 Reorder the terms: 194 = 6(7 + 4r) + 8 194 = (7 * 6 + 4r * 6) + 8 194 = (42 + 24r) + 8 Reorder the terms: 194 = 42 + 8 + 24r Combine like terms: 42 + 8 = 50 194 = 50 + 24r Solving 194 = 50 + 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. 194 + -24r = 50 + 24r + -24r Combine like terms: 24r + -24r = 0 194 + -24r = 50 + 0 194 + -24r = 50 Add '-194' to each side of the equation. 194 + -194 + -24r = 50 + -194 Combine like terms: 194 + -194 = 0 0 + -24r = 50 + -194 -24r = 50 + -194 Combine like terms: 50 + -194 = -144 -24r = -144 Divide each side by '-24'. r = 6 Simplifying r = 6
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