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Simplifying -2(4r + 6) + 2(r + -6) = 0 Reorder the terms: -2(6 + 4r) + 2(r + -6) = 0 (6 * -2 + 4r * -2) + 2(r + -6) = 0 (-12 + -8r) + 2(r + -6) = 0 Reorder the terms: -12 + -8r + 2(-6 + r) = 0 -12 + -8r + (-6 * 2 + r * 2) = 0 -12 + -8r + (-12 + 2r) = 0 Reorder the terms: -12 + -12 + -8r + 2r = 0 Combine like terms: -12 + -12 = -24 -24 + -8r + 2r = 0 Combine like terms: -8r + 2r = -6r -24 + -6r = 0 Solving -24 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6r = 0 + 24 -6r = 0 + 24 Combine like terms: 0 + 24 = 24 -6r = 24 Divide each side by '-6'. r = -4 Simplifying r = -4
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