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Simplifying r + 1 + -6 = 3r + 8 Reorder the terms: 1 + -6 + r = 3r + 8 Combine like terms: 1 + -6 = -5 -5 + r = 3r + 8 Reorder the terms: -5 + r = 8 + 3r Solving -5 + r = 8 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -5 + r + -3r = 8 + 3r + -3r Combine like terms: r + -3r = -2r -5 + -2r = 8 + 3r + -3r Combine like terms: 3r + -3r = 0 -5 + -2r = 8 + 0 -5 + -2r = 8 Add '5' to each side of the equation. -5 + 5 + -2r = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -2r = 8 + 5 -2r = 8 + 5 Combine like terms: 8 + 5 = 13 -2r = 13 Divide each side by '-2'. r = -6.5 Simplifying r = -6.5
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