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Simplifying 6(a + -5) + -4(a + 6) = 0 Reorder the terms: 6(-5 + a) + -4(a + 6) = 0 (-5 * 6 + a * 6) + -4(a + 6) = 0 (-30 + 6a) + -4(a + 6) = 0 Reorder the terms: -30 + 6a + -4(6 + a) = 0 -30 + 6a + (6 * -4 + a * -4) = 0 -30 + 6a + (-24 + -4a) = 0 Reorder the terms: -30 + -24 + 6a + -4a = 0 Combine like terms: -30 + -24 = -54 -54 + 6a + -4a = 0 Combine like terms: 6a + -4a = 2a -54 + 2a = 0 Solving -54 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 2a = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 2a = 0 + 54 2a = 0 + 54 Combine like terms: 0 + 54 = 54 2a = 54 Divide each side by '2'. a = 27 Simplifying a = 27
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