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Simplifying 7r + 3 = 13r + 6 Reorder the terms: 3 + 7r = 13r + 6 Reorder the terms: 3 + 7r = 6 + 13r Solving 3 + 7r = 6 + 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. 3 + 7r + -13r = 6 + 13r + -13r Combine like terms: 7r + -13r = -6r 3 + -6r = 6 + 13r + -13r Combine like terms: 13r + -13r = 0 3 + -6r = 6 + 0 3 + -6r = 6 Add '-3' to each side of the equation. 3 + -3 + -6r = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -6r = 6 + -3 -6r = 6 + -3 Combine like terms: 6 + -3 = 3 -6r = 3 Divide each side by '-6'. r = -0.5 Simplifying r = -0.5
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