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Simplifying 8r + -5 + 9r = 4 + r + -6 Reorder the terms: -5 + 8r + 9r = 4 + r + -6 Combine like terms: 8r + 9r = 17r -5 + 17r = 4 + r + -6 Reorder the terms: -5 + 17r = 4 + -6 + r Combine like terms: 4 + -6 = -2 -5 + 17r = -2 + r Solving -5 + 17r = -2 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -5 + 17r + -1r = -2 + r + -1r Combine like terms: 17r + -1r = 16r -5 + 16r = -2 + r + -1r Combine like terms: r + -1r = 0 -5 + 16r = -2 + 0 -5 + 16r = -2 Add '5' to each side of the equation. -5 + 5 + 16r = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 16r = -2 + 5 16r = -2 + 5 Combine like terms: -2 + 5 = 3 16r = 3 Divide each side by '16'. r = 0.1875 Simplifying r = 0.1875
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