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Simplifying -3(4r + 2) + -2(2r + -6) + -6r = 0 Reorder the terms: -3(2 + 4r) + -2(2r + -6) + -6r = 0 (2 * -3 + 4r * -3) + -2(2r + -6) + -6r = 0 (-6 + -12r) + -2(2r + -6) + -6r = 0 Reorder the terms: -6 + -12r + -2(-6 + 2r) + -6r = 0 -6 + -12r + (-6 * -2 + 2r * -2) + -6r = 0 -6 + -12r + (12 + -4r) + -6r = 0 Reorder the terms: -6 + 12 + -12r + -4r + -6r = 0 Combine like terms: -6 + 12 = 6 6 + -12r + -4r + -6r = 0 Combine like terms: -12r + -4r = -16r 6 + -16r + -6r = 0 Combine like terms: -16r + -6r = -22r 6 + -22r = 0 Solving 6 + -22r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -22r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -22r = 0 + -6 -22r = 0 + -6 Combine like terms: 0 + -6 = -6 -22r = -6 Divide each side by '-22'. r = 0.2727272727 Simplifying r = 0.2727272727
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