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Simplifying -9(6 + -1r) + 4(2 + 3r) = 0 (6 * -9 + -1r * -9) + 4(2 + 3r) = 0 (-54 + 9r) + 4(2 + 3r) = 0 -54 + 9r + (2 * 4 + 3r * 4) = 0 -54 + 9r + (8 + 12r) = 0 Reorder the terms: -54 + 8 + 9r + 12r = 0 Combine like terms: -54 + 8 = -46 -46 + 9r + 12r = 0 Combine like terms: 9r + 12r = 21r -46 + 21r = 0 Solving -46 + 21r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 21r = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 21r = 0 + 46 21r = 0 + 46 Combine like terms: 0 + 46 = 46 21r = 46 Divide each side by '21'. r = 2.19047619 Simplifying r = 2.19047619
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