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Simplifying 1 + 4r = r + -6 + -5 Reorder the terms: 1 + 4r = -6 + -5 + r Combine like terms: -6 + -5 = -11 1 + 4r = -11 + r Solving 1 + 4r = -11 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 1 + 4r + -1r = -11 + r + -1r Combine like terms: 4r + -1r = 3r 1 + 3r = -11 + r + -1r Combine like terms: r + -1r = 0 1 + 3r = -11 + 0 1 + 3r = -11 Add '-1' to each side of the equation. 1 + -1 + 3r = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = -11 + -1 3r = -11 + -1 Combine like terms: -11 + -1 = -12 3r = -12 Divide each side by '3'. r = -4 Simplifying r = -4
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