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