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Simplifying 8(7a + 5) + -8a = 8a + -40 Reorder the terms: 8(5 + 7a) + -8a = 8a + -40 (5 * 8 + 7a * 8) + -8a = 8a + -40 (40 + 56a) + -8a = 8a + -40 Combine like terms: 56a + -8a = 48a 40 + 48a = 8a + -40 Reorder the terms: 40 + 48a = -40 + 8a Solving 40 + 48a = -40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 40 + 48a + -8a = -40 + 8a + -8a Combine like terms: 48a + -8a = 40a 40 + 40a = -40 + 8a + -8a Combine like terms: 8a + -8a = 0 40 + 40a = -40 + 0 40 + 40a = -40 Add '-40' to each side of the equation. 40 + -40 + 40a = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 40a = -40 + -40 40a = -40 + -40 Combine like terms: -40 + -40 = -80 40a = -80 Divide each side by '40'. a = -2 Simplifying a = -2
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