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Simplifying 7(a + 8.5) + -5a + 4 = 0 Reorder the terms: 7(8.5 + a) + -5a + 4 = 0 (8.5 * 7 + a * 7) + -5a + 4 = 0 (59.5 + 7a) + -5a + 4 = 0 Reorder the terms: 59.5 + 4 + 7a + -5a = 0 Combine like terms: 59.5 + 4 = 63.5 63.5 + 7a + -5a = 0 Combine like terms: 7a + -5a = 2a 63.5 + 2a = 0 Solving 63.5 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-63.5' to each side of the equation. 63.5 + -63.5 + 2a = 0 + -63.5 Combine like terms: 63.5 + -63.5 = 0.0 0.0 + 2a = 0 + -63.5 2a = 0 + -63.5 Combine like terms: 0 + -63.5 = -63.5 2a = -63.5 Divide each side by '2'. a = -31.75 Simplifying a = -31.75
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