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Simplifying 5a + 36 = 5(4 + 2a) + -1a Reorder the terms: 36 + 5a = 5(4 + 2a) + -1a 36 + 5a = (4 * 5 + 2a * 5) + -1a 36 + 5a = (20 + 10a) + -1a Combine like terms: 10a + -1a = 9a 36 + 5a = 20 + 9a Solving 36 + 5a = 20 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 36 + 5a + -9a = 20 + 9a + -9a Combine like terms: 5a + -9a = -4a 36 + -4a = 20 + 9a + -9a Combine like terms: 9a + -9a = 0 36 + -4a = 20 + 0 36 + -4a = 20 Add '-36' to each side of the equation. 36 + -36 + -4a = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -4a = 20 + -36 -4a = 20 + -36 Combine like terms: 20 + -36 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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