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Simplifying 78 = -3(4a + 6) + -7(4a + -8) Reorder the terms: 78 = -3(6 + 4a) + -7(4a + -8) 78 = (6 * -3 + 4a * -3) + -7(4a + -8) 78 = (-18 + -12a) + -7(4a + -8) Reorder the terms: 78 = -18 + -12a + -7(-8 + 4a) 78 = -18 + -12a + (-8 * -7 + 4a * -7) 78 = -18 + -12a + (56 + -28a) Reorder the terms: 78 = -18 + 56 + -12a + -28a Combine like terms: -18 + 56 = 38 78 = 38 + -12a + -28a Combine like terms: -12a + -28a = -40a 78 = 38 + -40a Solving 78 = 38 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 78 + 40a = 38 + -40a + 40a Combine like terms: -40a + 40a = 0 78 + 40a = 38 + 0 78 + 40a = 38 Add '-78' to each side of the equation. 78 + -78 + 40a = 38 + -78 Combine like terms: 78 + -78 = 0 0 + 40a = 38 + -78 40a = 38 + -78 Combine like terms: 38 + -78 = -40 40a = -40 Divide each side by '40'. a = -1 Simplifying a = -1
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