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Simplifying -1 + r + -7 = 3r + 2 Reorder the terms: -1 + -7 + r = 3r + 2 Combine like terms: -1 + -7 = -8 -8 + r = 3r + 2 Reorder the terms: -8 + r = 2 + 3r Solving -8 + r = 2 + 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. -8 + r + -3r = 2 + 3r + -3r Combine like terms: r + -3r = -2r -8 + -2r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + -2r = 2 + 0 -8 + -2r = 2 Add '8' to each side of the equation. -8 + 8 + -2r = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -2r = 2 + 8 -2r = 2 + 8 Combine like terms: 2 + 8 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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