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Simplifying 144 = 4(1 + 7a) 144 = (1 * 4 + 7a * 4) 144 = (4 + 28a) Solving 144 = 4 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. 144 + -28a = 4 + 28a + -28a Combine like terms: 28a + -28a = 0 144 + -28a = 4 + 0 144 + -28a = 4 Add '-144' to each side of the equation. 144 + -144 + -28a = 4 + -144 Combine like terms: 144 + -144 = 0 0 + -28a = 4 + -144 -28a = 4 + -144 Combine like terms: 4 + -144 = -140 -28a = -140 Divide each side by '-28'. a = 5 Simplifying a = 5
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