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Simplifying 12 + 4r = 7r + 3 + -1r Reorder the terms: 12 + 4r = 3 + 7r + -1r Combine like terms: 7r + -1r = 6r 12 + 4r = 3 + 6r Solving 12 + 4r = 3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 12 + 4r + -6r = 3 + 6r + -6r Combine like terms: 4r + -6r = -2r 12 + -2r = 3 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -2r = 3 + 0 12 + -2r = 3 Add '-12' to each side of the equation. 12 + -12 + -2r = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -2r = 3 + -12 -2r = 3 + -12 Combine like terms: 3 + -12 = -9 -2r = -9 Divide each side by '-2'. r = 4.5 Simplifying r = 4.5
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