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Simplifying -6(8r + 9) + 9(9r + -8) = 0 Reorder the terms: -6(9 + 8r) + 9(9r + -8) = 0 (9 * -6 + 8r * -6) + 9(9r + -8) = 0 (-54 + -48r) + 9(9r + -8) = 0 Reorder the terms: -54 + -48r + 9(-8 + 9r) = 0 -54 + -48r + (-8 * 9 + 9r * 9) = 0 -54 + -48r + (-72 + 81r) = 0 Reorder the terms: -54 + -72 + -48r + 81r = 0 Combine like terms: -54 + -72 = -126 -126 + -48r + 81r = 0 Combine like terms: -48r + 81r = 33r -126 + 33r = 0 Solving -126 + 33r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 33r = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 33r = 0 + 126 33r = 0 + 126 Combine like terms: 0 + 126 = 126 33r = 126 Divide each side by '33'. r = 3.818181818 Simplifying r = 3.818181818
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