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Simplifying -39(8 + -1a) + -10a = -24 + -7a (8 * -39 + -1a * -39) + -10a = -24 + -7a (-312 + 39a) + -10a = -24 + -7a Combine like terms: 39a + -10a = 29a -312 + 29a = -24 + -7a Solving -312 + 29a = -24 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -312 + 29a + 7a = -24 + -7a + 7a Combine like terms: 29a + 7a = 36a -312 + 36a = -24 + -7a + 7a Combine like terms: -7a + 7a = 0 -312 + 36a = -24 + 0 -312 + 36a = -24 Add '312' to each side of the equation. -312 + 312 + 36a = -24 + 312 Combine like terms: -312 + 312 = 0 0 + 36a = -24 + 312 36a = -24 + 312 Combine like terms: -24 + 312 = 288 36a = 288 Divide each side by '36'. a = 8 Simplifying a = 8
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