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Simplifying -2a + -6(3a + -4) = 24 + 7a Reorder the terms: -2a + -6(-4 + 3a) = 24 + 7a -2a + (-4 * -6 + 3a * -6) = 24 + 7a -2a + (24 + -18a) = 24 + 7a Reorder the terms: 24 + -2a + -18a = 24 + 7a Combine like terms: -2a + -18a = -20a 24 + -20a = 24 + 7a Add '-24' to each side of the equation. 24 + -24 + -20a = 24 + -24 + 7a Combine like terms: 24 + -24 = 0 0 + -20a = 24 + -24 + 7a -20a = 24 + -24 + 7a Combine like terms: 24 + -24 = 0 -20a = 0 + 7a -20a = 7a Solving -20a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -20a + -7a = 7a + -7a Combine like terms: -20a + -7a = -27a -27a = 7a + -7a Combine like terms: 7a + -7a = 0 -27a = 0 Divide each side by '-27'. a = 0 Simplifying a = 0
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