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Simplifying 3r + 2 + -5r + -5 = 6r + 4 Reorder the terms: 2 + -5 + 3r + -5r = 6r + 4 Combine like terms: 2 + -5 = -3 -3 + 3r + -5r = 6r + 4 Combine like terms: 3r + -5r = -2r -3 + -2r = 6r + 4 Reorder the terms: -3 + -2r = 4 + 6r Solving -3 + -2r = 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 + -2r + -6r = 4 + 6r + -6r Combine like terms: -2r + -6r = -8r -3 + -8r = 4 + 6r + -6r Combine like terms: 6r + -6r = 0 -3 + -8r = 4 + 0 -3 + -8r = 4 Add '3' to each side of the equation. -3 + 3 + -8r = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -8r = 4 + 3 -8r = 4 + 3 Combine like terms: 4 + 3 = 7 -8r = 7 Divide each side by '-8'. r = -0.875 Simplifying r = -0.875
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