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Simplifying -7(3r + -1) = 27 + -1r Reorder the terms: -7(-1 + 3r) = 27 + -1r (-1 * -7 + 3r * -7) = 27 + -1r (7 + -21r) = 27 + -1r Solving 7 + -21r = 27 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 7 + -21r + r = 27 + -1r + r Combine like terms: -21r + r = -20r 7 + -20r = 27 + -1r + r Combine like terms: -1r + r = 0 7 + -20r = 27 + 0 7 + -20r = 27 Add '-7' to each side of the equation. 7 + -7 + -20r = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -20r = 27 + -7 -20r = 27 + -7 Combine like terms: 27 + -7 = 20 -20r = 20 Divide each side by '-20'. r = -1 Simplifying r = -1
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