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Simplifying -4(r + 8) + 9(r + 8) = 0 Reorder the terms: -4(8 + r) + 9(r + 8) = 0 (8 * -4 + r * -4) + 9(r + 8) = 0 (-32 + -4r) + 9(r + 8) = 0 Reorder the terms: -32 + -4r + 9(8 + r) = 0 -32 + -4r + (8 * 9 + r * 9) = 0 -32 + -4r + (72 + 9r) = 0 Reorder the terms: -32 + 72 + -4r + 9r = 0 Combine like terms: -32 + 72 = 40 40 + -4r + 9r = 0 Combine like terms: -4r + 9r = 5r 40 + 5r = 0 Solving 40 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5r = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5r = 0 + -40 5r = 0 + -40 Combine like terms: 0 + -40 = -40 5r = -40 Divide each side by '5'. r = -8 Simplifying r = -8
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