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Simplifying 103 = -2a + 3(-3a + 5) Reorder the terms: 103 = -2a + 3(5 + -3a) 103 = -2a + (5 * 3 + -3a * 3) 103 = -2a + (15 + -9a) Reorder the terms: 103 = 15 + -2a + -9a Combine like terms: -2a + -9a = -11a 103 = 15 + -11a Solving 103 = 15 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 103 + 11a = 15 + -11a + 11a Combine like terms: -11a + 11a = 0 103 + 11a = 15 + 0 103 + 11a = 15 Add '-103' to each side of the equation. 103 + -103 + 11a = 15 + -103 Combine like terms: 103 + -103 = 0 0 + 11a = 15 + -103 11a = 15 + -103 Combine like terms: 15 + -103 = -88 11a = -88 Divide each side by '11'. a = -8 Simplifying a = -8
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