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Simplifying 2r + -2r + 1 = r + 6 Reorder the terms: 1 + 2r + -2r = r + 6 Combine like terms: 2r + -2r = 0 1 + 0 = r + 6 1 = r + 6 Reorder the terms: 1 = 6 + r Solving 1 = 6 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 1 + -1r = 6 + r + -1r Combine like terms: r + -1r = 0 1 + -1r = 6 + 0 1 + -1r = 6 Add '-1' to each side of the equation. 1 + -1 + -1r = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 6 + -1 -1r = 6 + -1 Combine like terms: 6 + -1 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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