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Simplifying 7 + r + 5 + -3r = -4 + -4r Reorder the terms: 7 + 5 + r + -3r = -4 + -4r Combine like terms: 7 + 5 = 12 12 + r + -3r = -4 + -4r Combine like terms: r + -3r = -2r 12 + -2r = -4 + -4r Solving 12 + -2r = -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. 12 + -2r + 4r = -4 + -4r + 4r Combine like terms: -2r + 4r = 2r 12 + 2r = -4 + -4r + 4r Combine like terms: -4r + 4r = 0 12 + 2r = -4 + 0 12 + 2r = -4 Add '-12' to each side of the equation. 12 + -12 + 2r = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = -4 + -12 2r = -4 + -12 Combine like terms: -4 + -12 = -16 2r = -16 Divide each side by '2'. r = -8 Simplifying r = -8
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