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Simplifying -78 = 6(3 + -5a) + -3(3a + -7) -78 = (3 * 6 + -5a * 6) + -3(3a + -7) -78 = (18 + -30a) + -3(3a + -7) Reorder the terms: -78 = 18 + -30a + -3(-7 + 3a) -78 = 18 + -30a + (-7 * -3 + 3a * -3) -78 = 18 + -30a + (21 + -9a) Reorder the terms: -78 = 18 + 21 + -30a + -9a Combine like terms: 18 + 21 = 39 -78 = 39 + -30a + -9a Combine like terms: -30a + -9a = -39a -78 = 39 + -39a Solving -78 = 39 + -39a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '39a' to each side of the equation. -78 + 39a = 39 + -39a + 39a Combine like terms: -39a + 39a = 0 -78 + 39a = 39 + 0 -78 + 39a = 39 Add '78' to each side of the equation. -78 + 78 + 39a = 39 + 78 Combine like terms: -78 + 78 = 0 0 + 39a = 39 + 78 39a = 39 + 78 Combine like terms: 39 + 78 = 117 39a = 117 Divide each side by '39'. a = 3 Simplifying a = 3
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