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Simplifying 4(r + -6) + 2 = 5(r + 2) + -27 Reorder the terms: 4(-6 + r) + 2 = 5(r + 2) + -27 (-6 * 4 + r * 4) + 2 = 5(r + 2) + -27 (-24 + 4r) + 2 = 5(r + 2) + -27 Reorder the terms: -24 + 2 + 4r = 5(r + 2) + -27 Combine like terms: -24 + 2 = -22 -22 + 4r = 5(r + 2) + -27 Reorder the terms: -22 + 4r = 5(2 + r) + -27 -22 + 4r = (2 * 5 + r * 5) + -27 -22 + 4r = (10 + 5r) + -27 Reorder the terms: -22 + 4r = 10 + -27 + 5r Combine like terms: 10 + -27 = -17 -22 + 4r = -17 + 5r Solving -22 + 4r = -17 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -22 + 4r + -5r = -17 + 5r + -5r Combine like terms: 4r + -5r = -1r -22 + -1r = -17 + 5r + -5r Combine like terms: 5r + -5r = 0 -22 + -1r = -17 + 0 -22 + -1r = -17 Add '22' to each side of the equation. -22 + 22 + -1r = -17 + 22 Combine like terms: -22 + 22 = 0 0 + -1r = -17 + 22 -1r = -17 + 22 Combine like terms: -17 + 22 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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