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