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Simplifying 2(5r + -6) + -4(r + -8) = 0 Reorder the terms: 2(-6 + 5r) + -4(r + -8) = 0 (-6 * 2 + 5r * 2) + -4(r + -8) = 0 (-12 + 10r) + -4(r + -8) = 0 Reorder the terms: -12 + 10r + -4(-8 + r) = 0 -12 + 10r + (-8 * -4 + r * -4) = 0 -12 + 10r + (32 + -4r) = 0 Reorder the terms: -12 + 32 + 10r + -4r = 0 Combine like terms: -12 + 32 = 20 20 + 10r + -4r = 0 Combine like terms: 10r + -4r = 6r 20 + 6r = 0 Solving 20 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6r = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6r = 0 + -20 6r = 0 + -20 Combine like terms: 0 + -20 = -20 6r = -20 Divide each side by '6'. r = -3.333333333 Simplifying r = -3.333333333
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