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Simplifying -6(a + 9) = -24 + 4a Reorder the terms: -6(9 + a) = -24 + 4a (9 * -6 + a * -6) = -24 + 4a (-54 + -6a) = -24 + 4a Solving -54 + -6a = -24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -54 + -6a + -4a = -24 + 4a + -4a Combine like terms: -6a + -4a = -10a -54 + -10a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -54 + -10a = -24 + 0 -54 + -10a = -24 Add '54' to each side of the equation. -54 + 54 + -10a = -24 + 54 Combine like terms: -54 + 54 = 0 0 + -10a = -24 + 54 -10a = -24 + 54 Combine like terms: -24 + 54 = 30 -10a = 30 Divide each side by '-10'. a = -3 Simplifying a = -3
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