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Simplifying 7r + 12r + -28 = 37 + 6r Reorder the terms: -28 + 7r + 12r = 37 + 6r Combine like terms: 7r + 12r = 19r -28 + 19r = 37 + 6r Solving -28 + 19r = 37 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -28 + 19r + -6r = 37 + 6r + -6r Combine like terms: 19r + -6r = 13r -28 + 13r = 37 + 6r + -6r Combine like terms: 6r + -6r = 0 -28 + 13r = 37 + 0 -28 + 13r = 37 Add '28' to each side of the equation. -28 + 28 + 13r = 37 + 28 Combine like terms: -28 + 28 = 0 0 + 13r = 37 + 28 13r = 37 + 28 Combine like terms: 37 + 28 = 65 13r = 65 Divide each side by '13'. r = 5 Simplifying r = 5
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