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Simplifying 4a + 5(a + 3) + -14 = 64 Reorder the terms: 4a + 5(3 + a) + -14 = 64 4a + (3 * 5 + a * 5) + -14 = 64 4a + (15 + 5a) + -14 = 64 Reorder the terms: 15 + -14 + 4a + 5a = 64 Combine like terms: 15 + -14 = 1 1 + 4a + 5a = 64 Combine like terms: 4a + 5a = 9a 1 + 9a = 64 Solving 1 + 9a = 64 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9a = 64 + -1 Combine like terms: 1 + -1 = 0 0 + 9a = 64 + -1 9a = 64 + -1 Combine like terms: 64 + -1 = 63 9a = 63 Divide each side by '9'. a = 7 Simplifying a = 7
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