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Simplifying 2a + 3(a + -12) + -4a + -6 = 0 Reorder the terms: 2a + 3(-12 + a) + -4a + -6 = 0 2a + (-12 * 3 + a * 3) + -4a + -6 = 0 2a + (-36 + 3a) + -4a + -6 = 0 Reorder the terms: -36 + -6 + 2a + 3a + -4a = 0 Combine like terms: -36 + -6 = -42 -42 + 2a + 3a + -4a = 0 Combine like terms: 2a + 3a = 5a -42 + 5a + -4a = 0 Combine like terms: 5a + -4a = 1a -42 + 1a = 0 Solving -42 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1a = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1a = 0 + 42 1a = 0 + 42 Combine like terms: 0 + 42 = 42 1a = 42 Divide each side by '1'. a = 42 Simplifying a = 42
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