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Simplifying 5r + 3 = -6r + 4 Reorder the terms: 3 + 5r = -6r + 4 Reorder the terms: 3 + 5r = 4 + -6r Solving 3 + 5r = 4 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 3 + 5r + 6r = 4 + -6r + 6r Combine like terms: 5r + 6r = 11r 3 + 11r = 4 + -6r + 6r Combine like terms: -6r + 6r = 0 3 + 11r = 4 + 0 3 + 11r = 4 Add '-3' to each side of the equation. 3 + -3 + 11r = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 11r = 4 + -3 11r = 4 + -3 Combine like terms: 4 + -3 = 1 11r = 1 Divide each side by '11'. r = 0.09090909091 Simplifying r = 0.09090909091
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