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Simplifying 2(5r + -8) + -3(r + 8) = 0 Reorder the terms: 2(-8 + 5r) + -3(r + 8) = 0 (-8 * 2 + 5r * 2) + -3(r + 8) = 0 (-16 + 10r) + -3(r + 8) = 0 Reorder the terms: -16 + 10r + -3(8 + r) = 0 -16 + 10r + (8 * -3 + r * -3) = 0 -16 + 10r + (-24 + -3r) = 0 Reorder the terms: -16 + -24 + 10r + -3r = 0 Combine like terms: -16 + -24 = -40 -40 + 10r + -3r = 0 Combine like terms: 10r + -3r = 7r -40 + 7r = 0 Solving -40 + 7r = 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 + 7r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 7r = 0 + 40 7r = 0 + 40 Combine like terms: 0 + 40 = 40 7r = 40 Divide each side by '7'. r = 5.714285714 Simplifying r = 5.714285714
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