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Simplifying 6r + -5.1 + 3.5r = -1.1 + 9r Reorder the terms: -5.1 + 6r + 3.5r = -1.1 + 9r Combine like terms: 6r + 3.5r = 9.5r -5.1 + 9.5r = -1.1 + 9r Solving -5.1 + 9.5r = -1.1 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -5.1 + 9.5r + -9r = -1.1 + 9r + -9r Combine like terms: 9.5r + -9r = 0.5r -5.1 + 0.5r = -1.1 + 9r + -9r Combine like terms: 9r + -9r = 0 -5.1 + 0.5r = -1.1 + 0 -5.1 + 0.5r = -1.1 Add '5.1' to each side of the equation. -5.1 + 5.1 + 0.5r = -1.1 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 0.5r = -1.1 + 5.1 0.5r = -1.1 + 5.1 Combine like terms: -1.1 + 5.1 = 4 0.5r = 4 Divide each side by '0.5'. r = 8 Simplifying r = 8
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