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Simplifying 2(a + -5) + 4(a + -1) = 0 Reorder the terms: 2(-5 + a) + 4(a + -1) = 0 (-5 * 2 + a * 2) + 4(a + -1) = 0 (-10 + 2a) + 4(a + -1) = 0 Reorder the terms: -10 + 2a + 4(-1 + a) = 0 -10 + 2a + (-1 * 4 + a * 4) = 0 -10 + 2a + (-4 + 4a) = 0 Reorder the terms: -10 + -4 + 2a + 4a = 0 Combine like terms: -10 + -4 = -14 -14 + 2a + 4a = 0 Combine like terms: 2a + 4a = 6a -14 + 6a = 0 Solving -14 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 0 + 14 6a = 0 + 14 Combine like terms: 0 + 14 = 14 6a = 14 Divide each side by '6'. a = 2.333333333 Simplifying a = 2.333333333
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