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Simplifying 4(a + 9) = 16a Reorder the terms: 4(9 + a) = 16a (9 * 4 + a * 4) = 16a (36 + 4a) = 16a Solving 36 + 4a = 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. 36 + 4a + -16a = 16a + -16a Combine like terms: 4a + -16a = -12a 36 + -12a = 16a + -16a Combine like terms: 16a + -16a = 0 36 + -12a = 0 Add '-36' to each side of the equation. 36 + -36 + -12a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12a = 0 + -36 -12a = 0 + -36 Combine like terms: 0 + -36 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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