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Simplifying 5r + -1 = 2r + -4 + -6 Reorder the terms: -1 + 5r = 2r + -4 + -6 Reorder the terms: -1 + 5r = -4 + -6 + 2r Combine like terms: -4 + -6 = -10 -1 + 5r = -10 + 2r Solving -1 + 5r = -10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -1 + 5r + -2r = -10 + 2r + -2r Combine like terms: 5r + -2r = 3r -1 + 3r = -10 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + 3r = -10 + 0 -1 + 3r = -10 Add '1' to each side of the equation. -1 + 1 + 3r = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 3r = -10 + 1 3r = -10 + 1 Combine like terms: -10 + 1 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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