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Simplifying 13a + 15 = 4(a + 6) Reorder the terms: 15 + 13a = 4(a + 6) Reorder the terms: 15 + 13a = 4(6 + a) 15 + 13a = (6 * 4 + a * 4) 15 + 13a = (24 + 4a) Solving 15 + 13a = 24 + 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. 15 + 13a + -4a = 24 + 4a + -4a Combine like terms: 13a + -4a = 9a 15 + 9a = 24 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + 9a = 24 + 0 15 + 9a = 24 Add '-15' to each side of the equation. 15 + -15 + 9a = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 9a = 24 + -15 9a = 24 + -15 Combine like terms: 24 + -15 = 9 9a = 9 Divide each side by '9'. a = 1 Simplifying a = 1
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