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Simplifying 2r + -7 = -27 + 7r Reorder the terms: -7 + 2r = -27 + 7r Solving -7 + 2r = -27 + 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. -7 + 2r + -7r = -27 + 7r + -7r Combine like terms: 2r + -7r = -5r -7 + -5r = -27 + 7r + -7r Combine like terms: 7r + -7r = 0 -7 + -5r = -27 + 0 -7 + -5r = -27 Add '7' to each side of the equation. -7 + 7 + -5r = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -5r = -27 + 7 -5r = -27 + 7 Combine like terms: -27 + 7 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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