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Simplifying 54 = -6(3a + -4) + -3(7a + 3) Reorder the terms: 54 = -6(-4 + 3a) + -3(7a + 3) 54 = (-4 * -6 + 3a * -6) + -3(7a + 3) 54 = (24 + -18a) + -3(7a + 3) Reorder the terms: 54 = 24 + -18a + -3(3 + 7a) 54 = 24 + -18a + (3 * -3 + 7a * -3) 54 = 24 + -18a + (-9 + -21a) Reorder the terms: 54 = 24 + -9 + -18a + -21a Combine like terms: 24 + -9 = 15 54 = 15 + -18a + -21a Combine like terms: -18a + -21a = -39a 54 = 15 + -39a Solving 54 = 15 + -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. 54 + 39a = 15 + -39a + 39a Combine like terms: -39a + 39a = 0 54 + 39a = 15 + 0 54 + 39a = 15 Add '-54' to each side of the equation. 54 + -54 + 39a = 15 + -54 Combine like terms: 54 + -54 = 0 0 + 39a = 15 + -54 39a = 15 + -54 Combine like terms: 15 + -54 = -39 39a = -39 Divide each side by '39'. a = -1 Simplifying a = -1
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