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Simplifying 7 + 15r + -6 = 5r + 14 + -3r Reorder the terms: 7 + -6 + 15r = 5r + 14 + -3r Combine like terms: 7 + -6 = 1 1 + 15r = 5r + 14 + -3r Reorder the terms: 1 + 15r = 14 + 5r + -3r Combine like terms: 5r + -3r = 2r 1 + 15r = 14 + 2r Solving 1 + 15r = 14 + 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. 1 + 15r + -2r = 14 + 2r + -2r Combine like terms: 15r + -2r = 13r 1 + 13r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 13r = 14 + 0 1 + 13r = 14 Add '-1' to each side of the equation. 1 + -1 + 13r = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 13r = 14 + -1 13r = 14 + -1 Combine like terms: 14 + -1 = 13 13r = 13 Divide each side by '13'. r = 1 Simplifying r = 1
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