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Simplifying 6(2a + 5) = -3a + -45 Reorder the terms: 6(5 + 2a) = -3a + -45 (5 * 6 + 2a * 6) = -3a + -45 (30 + 12a) = -3a + -45 Reorder the terms: 30 + 12a = -45 + -3a Solving 30 + 12a = -45 + -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. 30 + 12a + 3a = -45 + -3a + 3a Combine like terms: 12a + 3a = 15a 30 + 15a = -45 + -3a + 3a Combine like terms: -3a + 3a = 0 30 + 15a = -45 + 0 30 + 15a = -45 Add '-30' to each side of the equation. 30 + -30 + 15a = -45 + -30 Combine like terms: 30 + -30 = 0 0 + 15a = -45 + -30 15a = -45 + -30 Combine like terms: -45 + -30 = -75 15a = -75 Divide each side by '15'. a = -5 Simplifying a = -5
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