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Simplifying 7r + 3(7 + -1r) = -1(r + 4) 7r + (7 * 3 + -1r * 3) = -1(r + 4) 7r + (21 + -3r) = -1(r + 4) Reorder the terms: 21 + 7r + -3r = -1(r + 4) Combine like terms: 7r + -3r = 4r 21 + 4r = -1(r + 4) Reorder the terms: 21 + 4r = -1(4 + r) 21 + 4r = (4 * -1 + r * -1) 21 + 4r = (-4 + -1r) Solving 21 + 4r = -4 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 21 + 4r + r = -4 + -1r + r Combine like terms: 4r + r = 5r 21 + 5r = -4 + -1r + r Combine like terms: -1r + r = 0 21 + 5r = -4 + 0 21 + 5r = -4 Add '-21' to each side of the equation. 21 + -21 + 5r = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5r = -4 + -21 5r = -4 + -21 Combine like terms: -4 + -21 = -25 5r = -25 Divide each side by '5'. r = -5 Simplifying r = -5
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