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Simplifying 4r + 7 + -8 + -6r = -9 Reorder the terms: 7 + -8 + 4r + -6r = -9 Combine like terms: 7 + -8 = -1 -1 + 4r + -6r = -9 Combine like terms: 4r + -6r = -2r -1 + -2r = -9 Solving -1 + -2r = -9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. 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 = -8 -2r = -8 Divide each side by '-2'. r = 4 Simplifying r = 4
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