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Simplifying 7r + -3 = 4r + 12 Reorder the terms: -3 + 7r = 4r + 12 Reorder the terms: -3 + 7r = 12 + 4r Solving -3 + 7r = 12 + 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. -3 + 7r + -4r = 12 + 4r + -4r Combine like terms: 7r + -4r = 3r -3 + 3r = 12 + 4r + -4r Combine like terms: 4r + -4r = 0 -3 + 3r = 12 + 0 -3 + 3r = 12 Add '3' to each side of the equation. -3 + 3 + 3r = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3r = 12 + 3 3r = 12 + 3 Combine like terms: 12 + 3 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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