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Simplifying 7 + 2r + -3 = 6r + 18 + -2r Reorder the terms: 7 + -3 + 2r = 6r + 18 + -2r Combine like terms: 7 + -3 = 4 4 + 2r = 6r + 18 + -2r Reorder the terms: 4 + 2r = 18 + 6r + -2r Combine like terms: 6r + -2r = 4r 4 + 2r = 18 + 4r Solving 4 + 2r = 18 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 2r + -4r = 18 + 4r + -4r Combine like terms: 2r + -4r = -2r 4 + -2r = 18 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + -2r = 18 + 0 4 + -2r = 18 Add '-4' to each side of the equation. 4 + -4 + -2r = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 18 + -4 -2r = 18 + -4 Combine like terms: 18 + -4 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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