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Simplifying 2(5r + 4) + -4(r + 8) = 0 Reorder the terms: 2(4 + 5r) + -4(r + 8) = 0 (4 * 2 + 5r * 2) + -4(r + 8) = 0 (8 + 10r) + -4(r + 8) = 0 Reorder the terms: 8 + 10r + -4(8 + r) = 0 8 + 10r + (8 * -4 + r * -4) = 0 8 + 10r + (-32 + -4r) = 0 Reorder the terms: 8 + -32 + 10r + -4r = 0 Combine like terms: 8 + -32 = -24 -24 + 10r + -4r = 0 Combine like terms: 10r + -4r = 6r -24 + 6r = 0 Solving -24 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6r = 0 + 24 6r = 0 + 24 Combine like terms: 0 + 24 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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