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Simplifying (2a + -4) + 2(a + -5) + -3(a + 1) * 6 = 0 Reorder the terms: (-4 + 2a) + 2(a + -5) + -3(a + 1) * 6 = 0 Remove parenthesis around (-4 + 2a) -4 + 2a + 2(a + -5) + -3(a + 1) * 6 = 0 Reorder the terms: -4 + 2a + 2(-5 + a) + -3(a + 1) * 6 = 0 -4 + 2a + (-5 * 2 + a * 2) + -3(a + 1) * 6 = 0 -4 + 2a + (-10 + 2a) + -3(a + 1) * 6 = 0 Reorder the terms: -4 + 2a + -10 + 2a + -3(1 + a) * 6 = 0 Reorder the terms for easier multiplication: -4 + 2a + -10 + 2a + -3 * 6(1 + a) = 0 Multiply -3 * 6 -4 + 2a + -10 + 2a + -18(1 + a) = 0 -4 + 2a + -10 + 2a + (1 * -18 + a * -18) = 0 -4 + 2a + -10 + 2a + (-18 + -18a) = 0 Reorder the terms: -4 + -10 + -18 + 2a + 2a + -18a = 0 Combine like terms: -4 + -10 = -14 -14 + -18 + 2a + 2a + -18a = 0 Combine like terms: -14 + -18 = -32 -32 + 2a + 2a + -18a = 0 Combine like terms: 2a + 2a = 4a -32 + 4a + -18a = 0 Combine like terms: 4a + -18a = -14a -32 + -14a = 0 Solving -32 + -14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -14a = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -14a = 0 + 32 -14a = 0 + 32 Combine like terms: 0 + 32 = 32 -14a = 32 Divide each side by '-14'. a = -2.285714286 Simplifying a = -2.285714286
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