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Simplifying 17 + -5r = 6(2r + 9) Reorder the terms: 17 + -5r = 6(9 + 2r) 17 + -5r = (9 * 6 + 2r * 6) 17 + -5r = (54 + 12r) Solving 17 + -5r = 54 + 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. 17 + -5r + -12r = 54 + 12r + -12r Combine like terms: -5r + -12r = -17r 17 + -17r = 54 + 12r + -12r Combine like terms: 12r + -12r = 0 17 + -17r = 54 + 0 17 + -17r = 54 Add '-17' to each side of the equation. 17 + -17 + -17r = 54 + -17 Combine like terms: 17 + -17 = 0 0 + -17r = 54 + -17 -17r = 54 + -17 Combine like terms: 54 + -17 = 37 -17r = 37 Divide each side by '-17'. r = -2.176470588 Simplifying r = -2.176470588
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