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Simplifying 5r + 21 = -1(3 + -1r) Reorder the terms: 21 + 5r = -1(3 + -1r) 21 + 5r = (3 * -1 + -1r * -1) 21 + 5r = (-3 + 1r) Solving 21 + 5r = -3 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 21 + 5r + -1r = -3 + 1r + -1r Combine like terms: 5r + -1r = 4r 21 + 4r = -3 + 1r + -1r Combine like terms: 1r + -1r = 0 21 + 4r = -3 + 0 21 + 4r = -3 Add '-21' to each side of the equation. 21 + -21 + 4r = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 4r = -3 + -21 4r = -3 + -21 Combine like terms: -3 + -21 = -24 4r = -24 Divide each side by '4'. r = -6 Simplifying r = -6
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