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Simplifying 13a + 15 + -5a = -3a + -18 Reorder the terms: 15 + 13a + -5a = -3a + -18 Combine like terms: 13a + -5a = 8a 15 + 8a = -3a + -18 Reorder the terms: 15 + 8a = -18 + -3a Solving 15 + 8a = -18 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 15 + 8a + 3a = -18 + -3a + 3a Combine like terms: 8a + 3a = 11a 15 + 11a = -18 + -3a + 3a Combine like terms: -3a + 3a = 0 15 + 11a = -18 + 0 15 + 11a = -18 Add '-15' to each side of the equation. 15 + -15 + 11a = -18 + -15 Combine like terms: 15 + -15 = 0 0 + 11a = -18 + -15 11a = -18 + -15 Combine like terms: -18 + -15 = -33 11a = -33 Divide each side by '11'. a = -3 Simplifying a = -3
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