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Simplifying -2(2r + 6) + -4(5r + -6) + -5r = 0 Reorder the terms: -2(6 + 2r) + -4(5r + -6) + -5r = 0 (6 * -2 + 2r * -2) + -4(5r + -6) + -5r = 0 (-12 + -4r) + -4(5r + -6) + -5r = 0 Reorder the terms: -12 + -4r + -4(-6 + 5r) + -5r = 0 -12 + -4r + (-6 * -4 + 5r * -4) + -5r = 0 -12 + -4r + (24 + -20r) + -5r = 0 Reorder the terms: -12 + 24 + -4r + -20r + -5r = 0 Combine like terms: -12 + 24 = 12 12 + -4r + -20r + -5r = 0 Combine like terms: -4r + -20r = -24r 12 + -24r + -5r = 0 Combine like terms: -24r + -5r = -29r 12 + -29r = 0 Solving 12 + -29r = 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 + -29r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -29r = 0 + -12 -29r = 0 + -12 Combine like terms: 0 + -12 = -12 -29r = -12 Divide each side by '-29'. r = 0.4137931034 Simplifying r = 0.4137931034
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