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Simplifying 8(8a + 2) + -10 = 6a + 528 Reorder the terms: 8(2 + 8a) + -10 = 6a + 528 (2 * 8 + 8a * 8) + -10 = 6a + 528 (16 + 64a) + -10 = 6a + 528 Reorder the terms: 16 + -10 + 64a = 6a + 528 Combine like terms: 16 + -10 = 6 6 + 64a = 6a + 528 Reorder the terms: 6 + 64a = 528 + 6a Solving 6 + 64a = 528 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 6 + 64a + -6a = 528 + 6a + -6a Combine like terms: 64a + -6a = 58a 6 + 58a = 528 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + 58a = 528 + 0 6 + 58a = 528 Add '-6' to each side of the equation. 6 + -6 + 58a = 528 + -6 Combine like terms: 6 + -6 = 0 0 + 58a = 528 + -6 58a = 528 + -6 Combine like terms: 528 + -6 = 522 58a = 522 Divide each side by '58'. a = 9 Simplifying a = 9
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