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Simplifying r + 8 = -4r + -7 Reorder the terms: 8 + r = -4r + -7 Reorder the terms: 8 + r = -7 + -4r Solving 8 + r = -7 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 8 + r + 4r = -7 + -4r + 4r Combine like terms: r + 4r = 5r 8 + 5r = -7 + -4r + 4r Combine like terms: -4r + 4r = 0 8 + 5r = -7 + 0 8 + 5r = -7 Add '-8' to each side of the equation. 8 + -8 + 5r = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5r = -7 + -8 5r = -7 + -8 Combine like terms: -7 + -8 = -15 5r = -15 Divide each side by '5'. r = -3 Simplifying r = -3
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