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Simplifying -5r + -3r + 1 = 8 + -7r Reorder the terms: 1 + -5r + -3r = 8 + -7r Combine like terms: -5r + -3r = -8r 1 + -8r = 8 + -7r Solving 1 + -8r = 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. 1 + -8r + 7r = 8 + -7r + 7r Combine like terms: -8r + 7r = -1r 1 + -1r = 8 + -7r + 7r Combine like terms: -7r + 7r = 0 1 + -1r = 8 + 0 1 + -1r = 8 Add '-1' to each side of the equation. 1 + -1 + -1r = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 8 + -1 -1r = 8 + -1 Combine like terms: 8 + -1 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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