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Simplifying 1 + -7r = 6r + -12 Reorder the terms: 1 + -7r = -12 + 6r Solving 1 + -7r = -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. 1 + -7r + -6r = -12 + 6r + -6r Combine like terms: -7r + -6r = -13r 1 + -13r = -12 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -13r = -12 + 0 1 + -13r = -12 Add '-1' to each side of the equation. 1 + -1 + -13r = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -13r = -12 + -1 -13r = -12 + -1 Combine like terms: -12 + -1 = -13 -13r = -13 Divide each side by '-13'. r = 1 Simplifying r = 1
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