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Simplifying -7(a + 3) = -24 + -8a Reorder the terms: -7(3 + a) = -24 + -8a (3 * -7 + a * -7) = -24 + -8a (-21 + -7a) = -24 + -8a Solving -21 + -7a = -24 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -21 + -7a + 8a = -24 + -8a + 8a Combine like terms: -7a + 8a = 1a -21 + 1a = -24 + -8a + 8a Combine like terms: -8a + 8a = 0 -21 + 1a = -24 + 0 -21 + 1a = -24 Add '21' to each side of the equation. -21 + 21 + 1a = -24 + 21 Combine like terms: -21 + 21 = 0 0 + 1a = -24 + 21 1a = -24 + 21 Combine like terms: -24 + 21 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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