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Simplifying -8a + 6(a + 7) = 0 Reorder the terms: -8a + 6(7 + a) = 0 -8a + (7 * 6 + a * 6) = 0 -8a + (42 + 6a) = 0 Reorder the terms: 42 + -8a + 6a = 0 Combine like terms: -8a + 6a = -2a 42 + -2a = 0 Solving 42 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -2a = 0 + -42 -2a = 0 + -42 Combine like terms: 0 + -42 = -42 -2a = -42 Divide each side by '-2'. a = 21 Simplifying a = 21
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