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Simplifying 164 = 7a + 5(2a + 4) + a Reorder the terms: 164 = 7a + 5(4 + 2a) + a 164 = 7a + (4 * 5 + 2a * 5) + a 164 = 7a + (20 + 10a) + a Reorder the terms: 164 = 20 + 7a + 10a + a Combine like terms: 7a + 10a = 17a 164 = 20 + 17a + a Combine like terms: 17a + a = 18a 164 = 20 + 18a Solving 164 = 20 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 164 + -18a = 20 + 18a + -18a Combine like terms: 18a + -18a = 0 164 + -18a = 20 + 0 164 + -18a = 20 Add '-164' to each side of the equation. 164 + -164 + -18a = 20 + -164 Combine like terms: 164 + -164 = 0 0 + -18a = 20 + -164 -18a = 20 + -164 Combine like terms: 20 + -164 = -144 -18a = -144 Divide each side by '-18'. a = 8 Simplifying a = 8
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