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Simplifying 7a + 8(8a + -2) = -8a + -16 Reorder the terms: 7a + 8(-2 + 8a) = -8a + -16 7a + (-2 * 8 + 8a * 8) = -8a + -16 7a + (-16 + 64a) = -8a + -16 Reorder the terms: -16 + 7a + 64a = -8a + -16 Combine like terms: 7a + 64a = 71a -16 + 71a = -8a + -16 Reorder the terms: -16 + 71a = -16 + -8a Add '16' to each side of the equation. -16 + 16 + 71a = -16 + 16 + -8a Combine like terms: -16 + 16 = 0 0 + 71a = -16 + 16 + -8a 71a = -16 + 16 + -8a Combine like terms: -16 + 16 = 0 71a = 0 + -8a 71a = -8a Solving 71a = -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. 71a + 8a = -8a + 8a Combine like terms: 71a + 8a = 79a 79a = -8a + 8a Combine like terms: -8a + 8a = 0 79a = 0 Divide each side by '79'. a = 0 Simplifying a = 0
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