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