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Simplifying 2r + -7 = 6r + -27 Reorder the terms: -7 + 2r = 6r + -27 Reorder the terms: -7 + 2r = -27 + 6r Solving -7 + 2r = -27 + 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. -7 + 2r + -6r = -27 + 6r + -6r Combine like terms: 2r + -6r = -4r -7 + -4r = -27 + 6r + -6r Combine like terms: 6r + -6r = 0 -7 + -4r = -27 + 0 -7 + -4r = -27 Add '7' to each side of the equation. -7 + 7 + -4r = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -4r = -27 + 7 -4r = -27 + 7 Combine like terms: -27 + 7 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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