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Simplifying -7 + 5r + -12 = 20 + -8r Reorder the terms: -7 + -12 + 5r = 20 + -8r Combine like terms: -7 + -12 = -19 -19 + 5r = 20 + -8r Solving -19 + 5r = 20 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -19 + 5r + 8r = 20 + -8r + 8r Combine like terms: 5r + 8r = 13r -19 + 13r = 20 + -8r + 8r Combine like terms: -8r + 8r = 0 -19 + 13r = 20 + 0 -19 + 13r = 20 Add '19' to each side of the equation. -19 + 19 + 13r = 20 + 19 Combine like terms: -19 + 19 = 0 0 + 13r = 20 + 19 13r = 20 + 19 Combine like terms: 20 + 19 = 39 13r = 39 Divide each side by '13'. r = 3 Simplifying r = 3
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