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Simplifying -5r + -8 = 7r + 28 Reorder the terms: -8 + -5r = 7r + 28 Reorder the terms: -8 + -5r = 28 + 7r Solving -8 + -5r = 28 + 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. -8 + -5r + -7r = 28 + 7r + -7r Combine like terms: -5r + -7r = -12r -8 + -12r = 28 + 7r + -7r Combine like terms: 7r + -7r = 0 -8 + -12r = 28 + 0 -8 + -12r = 28 Add '8' to each side of the equation. -8 + 8 + -12r = 28 + 8 Combine like terms: -8 + 8 = 0 0 + -12r = 28 + 8 -12r = 28 + 8 Combine like terms: 28 + 8 = 36 -12r = 36 Divide each side by '-12'. r = -3 Simplifying r = -3
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