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Simplifying 12 + -4r + -13 = 8r + 23 + -6r Reorder the terms: 12 + -13 + -4r = 8r + 23 + -6r Combine like terms: 12 + -13 = -1 -1 + -4r = 8r + 23 + -6r Reorder the terms: -1 + -4r = 23 + 8r + -6r Combine like terms: 8r + -6r = 2r -1 + -4r = 23 + 2r Solving -1 + -4r = 23 + 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. -1 + -4r + -2r = 23 + 2r + -2r Combine like terms: -4r + -2r = -6r -1 + -6r = 23 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -6r = 23 + 0 -1 + -6r = 23 Add '1' to each side of the equation. -1 + 1 + -6r = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -6r = 23 + 1 -6r = 23 + 1 Combine like terms: 23 + 1 = 24 -6r = 24 Divide each side by '-6'. r = -4 Simplifying r = -4
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