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Simplifying 52 = 4(a + 4) Reorder the terms: 52 = 4(4 + a) 52 = (4 * 4 + a * 4) 52 = (16 + 4a) Solving 52 = 16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 52 + -4a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 52 + -4a = 16 + 0 52 + -4a = 16 Add '-52' to each side of the equation. 52 + -52 + -4a = 16 + -52 Combine like terms: 52 + -52 = 0 0 + -4a = 16 + -52 -4a = 16 + -52 Combine like terms: 16 + -52 = -36 -4a = -36 Divide each side by '-4'. a = 9 Simplifying a = 9
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