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Simplifying r + -4 = 8 + 7r Reorder the terms: -4 + r = 8 + 7r Solving -4 + r = 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 + r + -7r = 8 + 7r + -7r Combine like terms: r + -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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