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Simplifying 6 + r = 15 + -2r Solving 6 + r = 15 + -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. 6 + r + 2r = 15 + -2r + 2r Combine like terms: r + 2r = 3r 6 + 3r = 15 + -2r + 2r Combine like terms: -2r + 2r = 0 6 + 3r = 15 + 0 6 + 3r = 15 Add '-6' to each side of the equation. 6 + -6 + 3r = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 3r = 15 + -6 3r = 15 + -6 Combine like terms: 15 + -6 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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