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Simplifying 2(a + -5) + 2(a + -4) + -6a + -12 = 0 Reorder the terms: 2(-5 + a) + 2(a + -4) + -6a + -12 = 0 (-5 * 2 + a * 2) + 2(a + -4) + -6a + -12 = 0 (-10 + 2a) + 2(a + -4) + -6a + -12 = 0 Reorder the terms: -10 + 2a + 2(-4 + a) + -6a + -12 = 0 -10 + 2a + (-4 * 2 + a * 2) + -6a + -12 = 0 -10 + 2a + (-8 + 2a) + -6a + -12 = 0 Reorder the terms: -10 + -8 + -12 + 2a + 2a + -6a = 0 Combine like terms: -10 + -8 = -18 -18 + -12 + 2a + 2a + -6a = 0 Combine like terms: -18 + -12 = -30 -30 + 2a + 2a + -6a = 0 Combine like terms: 2a + 2a = 4a -30 + 4a + -6a = 0 Combine like terms: 4a + -6a = -2a -30 + -2a = 0 Solving -30 + -2a = 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 + -2a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -2a = 0 + 30 -2a = 0 + 30 Combine like terms: 0 + 30 = 30 -2a = 30 Divide each side by '-2'. a = -15 Simplifying a = -15
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