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Simplifying 2r + 36 = -6r + 12 Reorder the terms: 36 + 2r = -6r + 12 Reorder the terms: 36 + 2r = 12 + -6r Solving 36 + 2r = 12 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 36 + 2r + 6r = 12 + -6r + 6r Combine like terms: 2r + 6r = 8r 36 + 8r = 12 + -6r + 6r Combine like terms: -6r + 6r = 0 36 + 8r = 12 + 0 36 + 8r = 12 Add '-36' to each side of the equation. 36 + -36 + 8r = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 8r = 12 + -36 8r = 12 + -36 Combine like terms: 12 + -36 = -24 8r = -24 Divide each side by '8'. r = -3 Simplifying r = -3
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