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Simplifying -6(5r + -6) + 4(6 + 4r) = 0 Reorder the terms: -6(-6 + 5r) + 4(6 + 4r) = 0 (-6 * -6 + 5r * -6) + 4(6 + 4r) = 0 (36 + -30r) + 4(6 + 4r) = 0 36 + -30r + (6 * 4 + 4r * 4) = 0 36 + -30r + (24 + 16r) = 0 Reorder the terms: 36 + 24 + -30r + 16r = 0 Combine like terms: 36 + 24 = 60 60 + -30r + 16r = 0 Combine like terms: -30r + 16r = -14r 60 + -14r = 0 Solving 60 + -14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -14r = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -14r = 0 + -60 -14r = 0 + -60 Combine like terms: 0 + -60 = -60 -14r = -60 Divide each side by '-14'. r = 4.285714286 Simplifying r = 4.285714286
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