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Simplifying 2(a + -5) + 4(a + -5) = 0 Reorder the terms: 2(-5 + a) + 4(a + -5) = 0 (-5 * 2 + a * 2) + 4(a + -5) = 0 (-10 + 2a) + 4(a + -5) = 0 Reorder the terms: -10 + 2a + 4(-5 + a) = 0 -10 + 2a + (-5 * 4 + a * 4) = 0 -10 + 2a + (-20 + 4a) = 0 Reorder the terms: -10 + -20 + 2a + 4a = 0 Combine like terms: -10 + -20 = -30 -30 + 2a + 4a = 0 Combine like terms: 2a + 4a = 6a -30 + 6a = 0 Solving -30 + 6a = 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 + 6a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6a = 0 + 30 6a = 0 + 30 Combine like terms: 0 + 30 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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