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Simplifying -5r + -7 = -9 + -6r Reorder the terms: -7 + -5r = -9 + -6r Solving -7 + -5r = -9 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -7 + -5r + 6r = -9 + -6r + 6r Combine like terms: -5r + 6r = 1r -7 + 1r = -9 + -6r + 6r Combine like terms: -6r + 6r = 0 -7 + 1r = -9 + 0 -7 + 1r = -9 Add '7' to each side of the equation. -7 + 7 + 1r = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 1r = -9 + 7 1r = -9 + 7 Combine like terms: -9 + 7 = -2 1r = -2 Divide each side by '1'. r = -2 Simplifying r = -2
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