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Simplifying 4r + 28 + -3 + -6r + 3r = -4 + -1r + -27 + 18 + -3r + -3 Reorder the terms: 28 + -3 + 4r + -6r + 3r = -4 + -1r + -27 + 18 + -3r + -3 Combine like terms: 28 + -3 = 25 25 + 4r + -6r + 3r = -4 + -1r + -27 + 18 + -3r + -3 Combine like terms: 4r + -6r = -2r 25 + -2r + 3r = -4 + -1r + -27 + 18 + -3r + -3 Combine like terms: -2r + 3r = 1r 25 + 1r = -4 + -1r + -27 + 18 + -3r + -3 Reorder the terms: 25 + 1r = -4 + -27 + 18 + -3 + -1r + -3r Combine like terms: -4 + -27 = -31 25 + 1r = -31 + 18 + -3 + -1r + -3r Combine like terms: -31 + 18 = -13 25 + 1r = -13 + -3 + -1r + -3r Combine like terms: -13 + -3 = -16 25 + 1r = -16 + -1r + -3r Combine like terms: -1r + -3r = -4r 25 + 1r = -16 + -4r Solving 25 + 1r = -16 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 25 + 1r + 4r = -16 + -4r + 4r Combine like terms: 1r + 4r = 5r 25 + 5r = -16 + -4r + 4r Combine like terms: -4r + 4r = 0 25 + 5r = -16 + 0 25 + 5r = -16 Add '-25' to each side of the equation. 25 + -25 + 5r = -16 + -25 Combine like terms: 25 + -25 = 0 0 + 5r = -16 + -25 5r = -16 + -25 Combine like terms: -16 + -25 = -41 5r = -41 Divide each side by '5'. r = -8.2 Simplifying r = -8.2
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