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Simplifying 4(a + -6) = 2a + -6 Reorder the terms: 4(-6 + a) = 2a + -6 (-6 * 4 + a * 4) = 2a + -6 (-24 + 4a) = 2a + -6 Reorder the terms: -24 + 4a = -6 + 2a Solving -24 + 4a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 4a + -2a = -6 + 2a + -2a Combine like terms: 4a + -2a = 2a -24 + 2a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 2a = -6 + 0 -24 + 2a = -6 Add '24' to each side of the equation. -24 + 24 + 2a = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = -6 + 24 2a = -6 + 24 Combine like terms: -6 + 24 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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