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Simplifying 4(a + -6) + 6 + 2(a + -6) = 0 Reorder the terms: 4(-6 + a) + 6 + 2(a + -6) = 0 (-6 * 4 + a * 4) + 6 + 2(a + -6) = 0 (-24 + 4a) + 6 + 2(a + -6) = 0 Reorder the terms: -24 + 4a + 6 + 2(-6 + a) = 0 -24 + 4a + 6 + (-6 * 2 + a * 2) = 0 -24 + 4a + 6 + (-12 + 2a) = 0 Reorder the terms: -24 + 6 + -12 + 4a + 2a = 0 Combine like terms: -24 + 6 = -18 -18 + -12 + 4a + 2a = 0 Combine like terms: -18 + -12 = -30 -30 + 4a + 2a = 0 Combine like terms: 4a + 2a = 6a -30 + 6a = 0 Solving -30 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6a = 0 + 30 6a = 0 + 30 Combine like terms: 0 + 30 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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