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Simplifying -4(1 + 3a) + -3 = -39 + -8a (1 * -4 + 3a * -4) + -3 = -39 + -8a (-4 + -12a) + -3 = -39 + -8a Reorder the terms: -4 + -3 + -12a = -39 + -8a Combine like terms: -4 + -3 = -7 -7 + -12a = -39 + -8a Solving -7 + -12a = -39 + -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. -7 + -12a + 8a = -39 + -8a + 8a Combine like terms: -12a + 8a = -4a -7 + -4a = -39 + -8a + 8a Combine like terms: -8a + 8a = 0 -7 + -4a = -39 + 0 -7 + -4a = -39 Add '7' to each side of the equation. -7 + 7 + -4a = -39 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = -39 + 7 -4a = -39 + 7 Combine like terms: -39 + 7 = -32 -4a = -32 Divide each side by '-4'. a = 8 Simplifying a = 8
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