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Simplifying 8(7a + 11) + 8a = -9a + -10(1 + -8a) Reorder the terms: 8(11 + 7a) + 8a = -9a + -10(1 + -8a) (11 * 8 + 7a * 8) + 8a = -9a + -10(1 + -8a) (88 + 56a) + 8a = -9a + -10(1 + -8a) Combine like terms: 56a + 8a = 64a 88 + 64a = -9a + -10(1 + -8a) 88 + 64a = -9a + (1 * -10 + -8a * -10) 88 + 64a = -9a + (-10 + 80a) Reorder the terms: 88 + 64a = -10 + -9a + 80a Combine like terms: -9a + 80a = 71a 88 + 64a = -10 + 71a Solving 88 + 64a = -10 + 71a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-71a' to each side of the equation. 88 + 64a + -71a = -10 + 71a + -71a Combine like terms: 64a + -71a = -7a 88 + -7a = -10 + 71a + -71a Combine like terms: 71a + -71a = 0 88 + -7a = -10 + 0 88 + -7a = -10 Add '-88' to each side of the equation. 88 + -88 + -7a = -10 + -88 Combine like terms: 88 + -88 = 0 0 + -7a = -10 + -88 -7a = -10 + -88 Combine like terms: -10 + -88 = -98 -7a = -98 Divide each side by '-7'. a = 14 Simplifying a = 14
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