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Simplifying r + 6 = 1 + 3r + -4r + -3 Reorder the terms: 6 + r = 1 + 3r + -4r + -3 Reorder the terms: 6 + r = 1 + -3 + 3r + -4r Combine like terms: 1 + -3 = -2 6 + r = -2 + 3r + -4r Combine like terms: 3r + -4r = -1r 6 + r = -2 + -1r Solving 6 + r = -2 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 6 + r + r = -2 + -1r + r Combine like terms: r + r = 2r 6 + 2r = -2 + -1r + r Combine like terms: -1r + r = 0 6 + 2r = -2 + 0 6 + 2r = -2 Add '-6' to each side of the equation. 6 + -6 + 2r = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2r = -2 + -6 2r = -2 + -6 Combine like terms: -2 + -6 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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