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Simplifying -1r + 4 = -8 + -7r Reorder the terms: 4 + -1r = -8 + -7r Solving 4 + -1r = -8 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 4 + -1r + 7r = -8 + -7r + 7r Combine like terms: -1r + 7r = 6r 4 + 6r = -8 + -7r + 7r Combine like terms: -7r + 7r = 0 4 + 6r = -8 + 0 4 + 6r = -8 Add '-4' to each side of the equation. 4 + -4 + 6r = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 6r = -8 + -4 6r = -8 + -4 Combine like terms: -8 + -4 = -12 6r = -12 Divide each side by '6'. r = -2 Simplifying r = -2
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