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