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Simplifying -6r + -7 = -1r + -7r + 3 Reorder the terms: -7 + -6r = -1r + -7r + 3 Reorder the terms: -7 + -6r = 3 + -1r + -7r Combine like terms: -1r + -7r = -8r -7 + -6r = 3 + -8r Solving -7 + -6r = 3 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -7 + -6r + 8r = 3 + -8r + 8r Combine like terms: -6r + 8r = 2r -7 + 2r = 3 + -8r + 8r Combine like terms: -8r + 8r = 0 -7 + 2r = 3 + 0 -7 + 2r = 3 Add '7' to each side of the equation. -7 + 7 + 2r = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2r = 3 + 7 2r = 3 + 7 Combine like terms: 3 + 7 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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