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Simplifying 3 + 6r + -1 = 8r + 30 + -6r Reorder the terms: 3 + -1 + 6r = 8r + 30 + -6r Combine like terms: 3 + -1 = 2 2 + 6r = 8r + 30 + -6r Reorder the terms: 2 + 6r = 30 + 8r + -6r Combine like terms: 8r + -6r = 2r 2 + 6r = 30 + 2r Solving 2 + 6r = 30 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + 6r + -2r = 30 + 2r + -2r Combine like terms: 6r + -2r = 4r 2 + 4r = 30 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 4r = 30 + 0 2 + 4r = 30 Add '-2' to each side of the equation. 2 + -2 + 4r = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4r = 30 + -2 4r = 30 + -2 Combine like terms: 30 + -2 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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