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Simplifying -8a + 6(a + 7) + 42 = 1 Reorder the terms: -8a + 6(7 + a) + 42 = 1 -8a + (7 * 6 + a * 6) + 42 = 1 -8a + (42 + 6a) + 42 = 1 Reorder the terms: 42 + 42 + -8a + 6a = 1 Combine like terms: 42 + 42 = 84 84 + -8a + 6a = 1 Combine like terms: -8a + 6a = -2a 84 + -2a = 1 Solving 84 + -2a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -2a = 1 + -84 Combine like terms: 84 + -84 = 0 0 + -2a = 1 + -84 -2a = 1 + -84 Combine like terms: 1 + -84 = -83 -2a = -83 Divide each side by '-2'. a = 41.5 Simplifying a = 41.5
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