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Simplifying -6r + -27 = 1 + -2r Reorder the terms: -27 + -6r = 1 + -2r Solving -27 + -6r = 1 + -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. -27 + -6r + 2r = 1 + -2r + 2r Combine like terms: -6r + 2r = -4r -27 + -4r = 1 + -2r + 2r Combine like terms: -2r + 2r = 0 -27 + -4r = 1 + 0 -27 + -4r = 1 Add '27' to each side of the equation. -27 + 27 + -4r = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -4r = 1 + 27 -4r = 1 + 27 Combine like terms: 1 + 27 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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