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Simplifying 64 = 8(1 + -5a) + 8(7 + -2a) 64 = (1 * 8 + -5a * 8) + 8(7 + -2a) 64 = (8 + -40a) + 8(7 + -2a) 64 = 8 + -40a + (7 * 8 + -2a * 8) 64 = 8 + -40a + (56 + -16a) Reorder the terms: 64 = 8 + 56 + -40a + -16a Combine like terms: 8 + 56 = 64 64 = 64 + -40a + -16a Combine like terms: -40a + -16a = -56a 64 = 64 + -56a Add '-64' to each side of the equation. 64 + -64 = 64 + -64 + -56a Combine like terms: 64 + -64 = 0 0 = 64 + -64 + -56a Combine like terms: 64 + -64 = 0 0 = 0 + -56a 0 = -56a Solving 0 = -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 0 + 56a = -56a + 56a Remove the zero: 56a = -56a + 56a Combine like terms: -56a + 56a = 0 56a = 0 Divide each side by '56'. a = 0 Simplifying a = 0
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