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Simplifying r + 7 + 4 = 2r + -3 Reorder the terms: 7 + 4 + r = 2r + -3 Combine like terms: 7 + 4 = 11 11 + r = 2r + -3 Reorder the terms: 11 + r = -3 + 2r Solving 11 + r = -3 + 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. 11 + r + -2r = -3 + 2r + -2r Combine like terms: r + -2r = -1r 11 + -1r = -3 + 2r + -2r Combine like terms: 2r + -2r = 0 11 + -1r = -3 + 0 11 + -1r = -3 Add '-11' to each side of the equation. 11 + -11 + -1r = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = -3 + -11 -1r = -3 + -11 Combine like terms: -3 + -11 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14
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