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Simplifying 13 + 6r + -16 = 11 + 4r Reorder the terms: 13 + -16 + 6r = 11 + 4r Combine like terms: 13 + -16 = -3 -3 + 6r = 11 + 4r Solving -3 + 6r = 11 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -3 + 6r + -4r = 11 + 4r + -4r Combine like terms: 6r + -4r = 2r -3 + 2r = 11 + 4r + -4r Combine like terms: 4r + -4r = 0 -3 + 2r = 11 + 0 -3 + 2r = 11 Add '3' to each side of the equation. -3 + 3 + 2r = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 11 + 3 2r = 11 + 3 Combine like terms: 11 + 3 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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