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Simplifying -3(2r + -6) + -2(4r + 2) + -6r = 0 Reorder the terms: -3(-6 + 2r) + -2(4r + 2) + -6r = 0 (-6 * -3 + 2r * -3) + -2(4r + 2) + -6r = 0 (18 + -6r) + -2(4r + 2) + -6r = 0 Reorder the terms: 18 + -6r + -2(2 + 4r) + -6r = 0 18 + -6r + (2 * -2 + 4r * -2) + -6r = 0 18 + -6r + (-4 + -8r) + -6r = 0 Reorder the terms: 18 + -4 + -6r + -8r + -6r = 0 Combine like terms: 18 + -4 = 14 14 + -6r + -8r + -6r = 0 Combine like terms: -6r + -8r = -14r 14 + -14r + -6r = 0 Combine like terms: -14r + -6r = -20r 14 + -20r = 0 Solving 14 + -20r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -20r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -20r = 0 + -14 -20r = 0 + -14 Combine like terms: 0 + -14 = -14 -20r = -14 Divide each side by '-20'. r = 0.7 Simplifying r = 0.7
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