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Simplifying 52 = 4(1 + 4a) 52 = (1 * 4 + 4a * 4) 52 = (4 + 16a) Solving 52 = 4 + 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. 52 + -16a = 4 + 16a + -16a Combine like terms: 16a + -16a = 0 52 + -16a = 4 + 0 52 + -16a = 4 Add '-52' to each side of the equation. 52 + -52 + -16a = 4 + -52 Combine like terms: 52 + -52 = 0 0 + -16a = 4 + -52 -16a = 4 + -52 Combine like terms: 4 + -52 = -48 -16a = -48 Divide each side by '-16'. a = 3 Simplifying a = 3
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