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Simplifying 5r + -9 + -7r = r + 9 Reorder the terms: -9 + 5r + -7r = r + 9 Combine like terms: 5r + -7r = -2r -9 + -2r = r + 9 Reorder the terms: -9 + -2r = 9 + r Solving -9 + -2r = 9 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -9 + -2r + -1r = 9 + r + -1r Combine like terms: -2r + -1r = -3r -9 + -3r = 9 + r + -1r Combine like terms: r + -1r = 0 -9 + -3r = 9 + 0 -9 + -3r = 9 Add '9' to each side of the equation. -9 + 9 + -3r = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -3r = 9 + 9 -3r = 9 + 9 Combine like terms: 9 + 9 = 18 -3r = 18 Divide each side by '-3'. r = -6 Simplifying r = -6
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