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Simplifying 144 = 7a + 4(2a + 4) + a Reorder the terms: 144 = 7a + 4(4 + 2a) + a 144 = 7a + (4 * 4 + 2a * 4) + a 144 = 7a + (16 + 8a) + a Reorder the terms: 144 = 16 + 7a + 8a + a Combine like terms: 7a + 8a = 15a 144 = 16 + 15a + a Combine like terms: 15a + a = 16a 144 = 16 + 16a Solving 144 = 16 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 144 + -16a = 16 + 16a + -16a Combine like terms: 16a + -16a = 0 144 + -16a = 16 + 0 144 + -16a = 16 Add '-144' to each side of the equation. 144 + -144 + -16a = 16 + -144 Combine like terms: 144 + -144 = 0 0 + -16a = 16 + -144 -16a = 16 + -144 Combine like terms: 16 + -144 = -128 -16a = -128 Divide each side by '-16'. a = 8 Simplifying a = 8
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