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Simplifying 5(a + 2) + 8(a + -8) = 0 Reorder the terms: 5(2 + a) + 8(a + -8) = 0 (2 * 5 + a * 5) + 8(a + -8) = 0 (10 + 5a) + 8(a + -8) = 0 Reorder the terms: 10 + 5a + 8(-8 + a) = 0 10 + 5a + (-8 * 8 + a * 8) = 0 10 + 5a + (-64 + 8a) = 0 Reorder the terms: 10 + -64 + 5a + 8a = 0 Combine like terms: 10 + -64 = -54 -54 + 5a + 8a = 0 Combine like terms: 5a + 8a = 13a -54 + 13a = 0 Solving -54 + 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 13a = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 13a = 0 + 54 13a = 0 + 54 Combine like terms: 0 + 54 = 54 13a = 54 Divide each side by '13'. a = 4.153846154 Simplifying a = 4.153846154
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