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Simplifying -5.4 + 8.1r = 13r + 7.83 Reorder the terms: -5.4 + 8.1r = 7.83 + 13r Solving -5.4 + 8.1r = 7.83 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. -5.4 + 8.1r + -13r = 7.83 + 13r + -13r Combine like terms: 8.1r + -13r = -4.9r -5.4 + -4.9r = 7.83 + 13r + -13r Combine like terms: 13r + -13r = 0 -5.4 + -4.9r = 7.83 + 0 -5.4 + -4.9r = 7.83 Add '5.4' to each side of the equation. -5.4 + 5.4 + -4.9r = 7.83 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -4.9r = 7.83 + 5.4 -4.9r = 7.83 + 5.4 Combine like terms: 7.83 + 5.4 = 13.23 -4.9r = 13.23 Divide each side by '-4.9'. r = -2.7 Simplifying r = -2.7
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