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Simplifying 5 + 15r + -2 = 9r + 55 + -7r Reorder the terms: 5 + -2 + 15r = 9r + 55 + -7r Combine like terms: 5 + -2 = 3 3 + 15r = 9r + 55 + -7r Reorder the terms: 3 + 15r = 55 + 9r + -7r Combine like terms: 9r + -7r = 2r 3 + 15r = 55 + 2r Solving 3 + 15r = 55 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 15r + -2r = 55 + 2r + -2r Combine like terms: 15r + -2r = 13r 3 + 13r = 55 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 13r = 55 + 0 3 + 13r = 55 Add '-3' to each side of the equation. 3 + -3 + 13r = 55 + -3 Combine like terms: 3 + -3 = 0 0 + 13r = 55 + -3 13r = 55 + -3 Combine like terms: 55 + -3 = 52 13r = 52 Divide each side by '13'. r = 4 Simplifying r = 4
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