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Simplifying 3r + -20 = 4r + 8 + -21 Reorder the terms: -20 + 3r = 4r + 8 + -21 Reorder the terms: -20 + 3r = 8 + -21 + 4r Combine like terms: 8 + -21 = -13 -20 + 3r = -13 + 4r Solving -20 + 3r = -13 + 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. -20 + 3r + -4r = -13 + 4r + -4r Combine like terms: 3r + -4r = -1r -20 + -1r = -13 + 4r + -4r Combine like terms: 4r + -4r = 0 -20 + -1r = -13 + 0 -20 + -1r = -13 Add '20' to each side of the equation. -20 + 20 + -1r = -13 + 20 Combine like terms: -20 + 20 = 0 0 + -1r = -13 + 20 -1r = -13 + 20 Combine like terms: -13 + 20 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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