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Simplifying 4r + 2r + 2 = 3r + -7 Reorder the terms: 2 + 4r + 2r = 3r + -7 Combine like terms: 4r + 2r = 6r 2 + 6r = 3r + -7 Reorder the terms: 2 + 6r = -7 + 3r Solving 2 + 6r = -7 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 2 + 6r + -3r = -7 + 3r + -3r Combine like terms: 6r + -3r = 3r 2 + 3r = -7 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 3r = -7 + 0 2 + 3r = -7 Add '-2' to each side of the equation. 2 + -2 + 3r = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = -7 + -2 3r = -7 + -2 Combine like terms: -7 + -2 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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