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Simplifying 4a + 36 = 4(8a + 2) Reorder the terms: 36 + 4a = 4(8a + 2) Reorder the terms: 36 + 4a = 4(2 + 8a) 36 + 4a = (2 * 4 + 8a * 4) 36 + 4a = (8 + 32a) Solving 36 + 4a = 8 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 36 + 4a + -32a = 8 + 32a + -32a Combine like terms: 4a + -32a = -28a 36 + -28a = 8 + 32a + -32a Combine like terms: 32a + -32a = 0 36 + -28a = 8 + 0 36 + -28a = 8 Add '-36' to each side of the equation. 36 + -36 + -28a = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -28a = 8 + -36 -28a = 8 + -36 Combine like terms: 8 + -36 = -28 -28a = -28 Divide each side by '-28'. a = 1 Simplifying a = 1
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