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Simplifying 4r + 27 = -1[r + -7] Reorder the terms: 27 + 4r = -1[r + -7] Reorder the terms: 27 + 4r = -1[-7 + r] 27 + 4r = [-7 * -1 + r * -1] 27 + 4r = [7 + -1r] Solving 27 + 4r = 7 + -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. 27 + 4r + r = 7 + -1r + r Combine like terms: 4r + r = 5r 27 + 5r = 7 + -1r + r Combine like terms: -1r + r = 0 27 + 5r = 7 + 0 27 + 5r = 7 Add '-27' to each side of the equation. 27 + -27 + 5r = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 5r = 7 + -27 5r = 7 + -27 Combine like terms: 7 + -27 = -20 5r = -20 Divide each side by '5'. r = -4 Simplifying r = -4
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