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Simplifying -6r + 3(4r + 7) = -5r + 32 Reorder the terms: -6r + 3(7 + 4r) = -5r + 32 -6r + (7 * 3 + 4r * 3) = -5r + 32 -6r + (21 + 12r) = -5r + 32 Reorder the terms: 21 + -6r + 12r = -5r + 32 Combine like terms: -6r + 12r = 6r 21 + 6r = -5r + 32 Reorder the terms: 21 + 6r = 32 + -5r Solving 21 + 6r = 32 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 21 + 6r + 5r = 32 + -5r + 5r Combine like terms: 6r + 5r = 11r 21 + 11r = 32 + -5r + 5r Combine like terms: -5r + 5r = 0 21 + 11r = 32 + 0 21 + 11r = 32 Add '-21' to each side of the equation. 21 + -21 + 11r = 32 + -21 Combine like terms: 21 + -21 = 0 0 + 11r = 32 + -21 11r = 32 + -21 Combine like terms: 32 + -21 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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