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Simplifying 4(8r + -2) + -3(5 + -3r) = 0 Reorder the terms: 4(-2 + 8r) + -3(5 + -3r) = 0 (-2 * 4 + 8r * 4) + -3(5 + -3r) = 0 (-8 + 32r) + -3(5 + -3r) = 0 -8 + 32r + (5 * -3 + -3r * -3) = 0 -8 + 32r + (-15 + 9r) = 0 Reorder the terms: -8 + -15 + 32r + 9r = 0 Combine like terms: -8 + -15 = -23 -23 + 32r + 9r = 0 Combine like terms: 32r + 9r = 41r -23 + 41r = 0 Solving -23 + 41r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 41r = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 41r = 0 + 23 41r = 0 + 23 Combine like terms: 0 + 23 = 23 41r = 23 Divide each side by '41'. r = 0.5609756098 Simplifying r = 0.5609756098
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