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Simplifying 6(a + -5) = 24 + -3a Reorder the terms: 6(-5 + a) = 24 + -3a (-5 * 6 + a * 6) = 24 + -3a (-30 + 6a) = 24 + -3a Solving -30 + 6a = 24 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -30 + 6a + 3a = 24 + -3a + 3a Combine like terms: 6a + 3a = 9a -30 + 9a = 24 + -3a + 3a Combine like terms: -3a + 3a = 0 -30 + 9a = 24 + 0 -30 + 9a = 24 Add '30' to each side of the equation. -30 + 30 + 9a = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 9a = 24 + 30 9a = 24 + 30 Combine like terms: 24 + 30 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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