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Simplifying -5r + -3 = 7r + 9 Reorder the terms: -3 + -5r = 7r + 9 Reorder the terms: -3 + -5r = 9 + 7r Solving -3 + -5r = 9 + 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. -3 + -5r + -7r = 9 + 7r + -7r Combine like terms: -5r + -7r = -12r -3 + -12r = 9 + 7r + -7r Combine like terms: 7r + -7r = 0 -3 + -12r = 9 + 0 -3 + -12r = 9 Add '3' to each side of the equation. -3 + 3 + -12r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -12r = 9 + 3 -12r = 9 + 3 Combine like terms: 9 + 3 = 12 -12r = 12 Divide each side by '-12'. r = -1 Simplifying r = -1
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