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Simplifying 146 = 2a + 8(2a + 4) + a Reorder the terms: 146 = 2a + 8(4 + 2a) + a 146 = 2a + (4 * 8 + 2a * 8) + a 146 = 2a + (32 + 16a) + a Reorder the terms: 146 = 32 + 2a + 16a + a Combine like terms: 2a + 16a = 18a 146 = 32 + 18a + a Combine like terms: 18a + a = 19a 146 = 32 + 19a Solving 146 = 32 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. 146 + -19a = 32 + 19a + -19a Combine like terms: 19a + -19a = 0 146 + -19a = 32 + 0 146 + -19a = 32 Add '-146' to each side of the equation. 146 + -146 + -19a = 32 + -146 Combine like terms: 146 + -146 = 0 0 + -19a = 32 + -146 -19a = 32 + -146 Combine like terms: 32 + -146 = -114 -19a = -114 Divide each side by '-19'. a = 6 Simplifying a = 6
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