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Simplifying 5r + 6 + -3r + 7 = 0 Reorder the terms: 6 + 7 + 5r + -3r = 0 Combine like terms: 6 + 7 = 13 13 + 5r + -3r = 0 Combine like terms: 5r + -3r = 2r 13 + 2r = 0 Solving 13 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2r = 0 + -13 2r = 0 + -13 Combine like terms: 0 + -13 = -13 2r = -13 Divide each side by '2'. r = -6.5 Simplifying r = -6.5
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