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Simplifying -16 = 6(1 + 5a) + 7(8 + -8a) -16 = (1 * 6 + 5a * 6) + 7(8 + -8a) -16 = (6 + 30a) + 7(8 + -8a) -16 = 6 + 30a + (8 * 7 + -8a * 7) -16 = 6 + 30a + (56 + -56a) Reorder the terms: -16 = 6 + 56 + 30a + -56a Combine like terms: 6 + 56 = 62 -16 = 62 + 30a + -56a Combine like terms: 30a + -56a = -26a -16 = 62 + -26a Solving -16 = 62 + -26a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26a' to each side of the equation. -16 + 26a = 62 + -26a + 26a Combine like terms: -26a + 26a = 0 -16 + 26a = 62 + 0 -16 + 26a = 62 Add '16' to each side of the equation. -16 + 16 + 26a = 62 + 16 Combine like terms: -16 + 16 = 0 0 + 26a = 62 + 16 26a = 62 + 16 Combine like terms: 62 + 16 = 78 26a = 78 Divide each side by '26'. a = 3 Simplifying a = 3
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