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Simplifying 4r + -6 = -5r + -24 Reorder the terms: -6 + 4r = -5r + -24 Reorder the terms: -6 + 4r = -24 + -5r Solving -6 + 4r = -24 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -6 + 4r + 5r = -24 + -5r + 5r Combine like terms: 4r + 5r = 9r -6 + 9r = -24 + -5r + 5r Combine like terms: -5r + 5r = 0 -6 + 9r = -24 + 0 -6 + 9r = -24 Add '6' to each side of the equation. -6 + 6 + 9r = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9r = -24 + 6 9r = -24 + 6 Combine like terms: -24 + 6 = -18 9r = -18 Divide each side by '9'. r = -2 Simplifying r = -2
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