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Simplifying r + -1 = 3r + 9 Reorder the terms: -1 + r = 3r + 9 Reorder the terms: -1 + r = 9 + 3r Solving -1 + r = 9 + 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. -1 + r + -3r = 9 + 3r + -3r Combine like terms: r + -3r = -2r -1 + -2r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 -1 + -2r = 9 + 0 -1 + -2r = 9 Add '1' to each side of the equation. -1 + 1 + -2r = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -2r = 9 + 1 -2r = 9 + 1 Combine like terms: 9 + 1 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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