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Simplifying 12 + -3r + 20 + 6r = 3 + -8r + 2 + 15r Reorder the terms: 12 + 20 + -3r + 6r = 3 + -8r + 2 + 15r Combine like terms: 12 + 20 = 32 32 + -3r + 6r = 3 + -8r + 2 + 15r Combine like terms: -3r + 6r = 3r 32 + 3r = 3 + -8r + 2 + 15r Reorder the terms: 32 + 3r = 3 + 2 + -8r + 15r Combine like terms: 3 + 2 = 5 32 + 3r = 5 + -8r + 15r Combine like terms: -8r + 15r = 7r 32 + 3r = 5 + 7r Solving 32 + 3r = 5 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 32 + 3r + -7r = 5 + 7r + -7r Combine like terms: 3r + -7r = -4r 32 + -4r = 5 + 7r + -7r Combine like terms: 7r + -7r = 0 32 + -4r = 5 + 0 32 + -4r = 5 Add '-32' to each side of the equation. 32 + -32 + -4r = 5 + -32 Combine like terms: 32 + -32 = 0 0 + -4r = 5 + -32 -4r = 5 + -32 Combine like terms: 5 + -32 = -27 -4r = -27 Divide each side by '-4'. r = 6.75 Simplifying r = 6.75
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