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Simplifying -4r + -4 = 4r + 21 Reorder the terms: -4 + -4r = 4r + 21 Reorder the terms: -4 + -4r = 21 + 4r Solving -4 + -4r = 21 + 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. -4 + -4r + -4r = 21 + 4r + -4r Combine like terms: -4r + -4r = -8r -4 + -8r = 21 + 4r + -4r Combine like terms: 4r + -4r = 0 -4 + -8r = 21 + 0 -4 + -8r = 21 Add '4' to each side of the equation. -4 + 4 + -8r = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -8r = 21 + 4 -8r = 21 + 4 Combine like terms: 21 + 4 = 25 -8r = 25 Divide each side by '-8'. r = -3.125 Simplifying r = -3.125
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