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Simplifying -4(8r + -2) + 3(10r + 5) = 0 Reorder the terms: -4(-2 + 8r) + 3(10r + 5) = 0 (-2 * -4 + 8r * -4) + 3(10r + 5) = 0 (8 + -32r) + 3(10r + 5) = 0 Reorder the terms: 8 + -32r + 3(5 + 10r) = 0 8 + -32r + (5 * 3 + 10r * 3) = 0 8 + -32r + (15 + 30r) = 0 Reorder the terms: 8 + 15 + -32r + 30r = 0 Combine like terms: 8 + 15 = 23 23 + -32r + 30r = 0 Combine like terms: -32r + 30r = -2r 23 + -2r = 0 Solving 23 + -2r = 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 + -2r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2r = 0 + -23 -2r = 0 + -23 Combine like terms: 0 + -23 = -23 -2r = -23 Divide each side by '-2'. r = 11.5 Simplifying r = 11.5
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