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Simplifying -9(6r + 4) + 6(3r + 4) = 0 Reorder the terms: -9(4 + 6r) + 6(3r + 4) = 0 (4 * -9 + 6r * -9) + 6(3r + 4) = 0 (-36 + -54r) + 6(3r + 4) = 0 Reorder the terms: -36 + -54r + 6(4 + 3r) = 0 -36 + -54r + (4 * 6 + 3r * 6) = 0 -36 + -54r + (24 + 18r) = 0 Reorder the terms: -36 + 24 + -54r + 18r = 0 Combine like terms: -36 + 24 = -12 -12 + -54r + 18r = 0 Combine like terms: -54r + 18r = -36r -12 + -36r = 0 Solving -12 + -36r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -36r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -36r = 0 + 12 -36r = 0 + 12 Combine like terms: 0 + 12 = 12 -36r = 12 Divide each side by '-36'. r = -0.3333333333 Simplifying r = -0.3333333333
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