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Simplifying 5(r + 3) + 6 = 4r + -4 Reorder the terms: 5(3 + r) + 6 = 4r + -4 (3 * 5 + r * 5) + 6 = 4r + -4 (15 + 5r) + 6 = 4r + -4 Reorder the terms: 15 + 6 + 5r = 4r + -4 Combine like terms: 15 + 6 = 21 21 + 5r = 4r + -4 Reorder the terms: 21 + 5r = -4 + 4r Solving 21 + 5r = -4 + 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. 21 + 5r + -4r = -4 + 4r + -4r Combine like terms: 5r + -4r = 1r 21 + 1r = -4 + 4r + -4r Combine like terms: 4r + -4r = 0 21 + 1r = -4 + 0 21 + 1r = -4 Add '-21' to each side of the equation. 21 + -21 + 1r = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 1r = -4 + -21 1r = -4 + -21 Combine like terms: -4 + -21 = -25 1r = -25 Divide each side by '1'. r = -25 Simplifying r = -25
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