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Simplifying 12 + -7r + -13 = 7r + 39 + -4r Reorder the terms: 12 + -13 + -7r = 7r + 39 + -4r Combine like terms: 12 + -13 = -1 -1 + -7r = 7r + 39 + -4r Reorder the terms: -1 + -7r = 39 + 7r + -4r Combine like terms: 7r + -4r = 3r -1 + -7r = 39 + 3r Solving -1 + -7r = 39 + 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. -1 + -7r + -3r = 39 + 3r + -3r Combine like terms: -7r + -3r = -10r -1 + -10r = 39 + 3r + -3r Combine like terms: 3r + -3r = 0 -1 + -10r = 39 + 0 -1 + -10r = 39 Add '1' to each side of the equation. -1 + 1 + -10r = 39 + 1 Combine like terms: -1 + 1 = 0 0 + -10r = 39 + 1 -10r = 39 + 1 Combine like terms: 39 + 1 = 40 -10r = 40 Divide each side by '-10'. r = -4 Simplifying r = -4
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