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Simplifying 2(3a + 3) + -8a = -5(a + -6) Reorder the terms: 2(3 + 3a) + -8a = -5(a + -6) (3 * 2 + 3a * 2) + -8a = -5(a + -6) (6 + 6a) + -8a = -5(a + -6) Combine like terms: 6a + -8a = -2a 6 + -2a = -5(a + -6) Reorder the terms: 6 + -2a = -5(-6 + a) 6 + -2a = (-6 * -5 + a * -5) 6 + -2a = (30 + -5a) Solving 6 + -2a = 30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 6 + -2a + 5a = 30 + -5a + 5a Combine like terms: -2a + 5a = 3a 6 + 3a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 6 + 3a = 30 + 0 6 + 3a = 30 Add '-6' to each side of the equation. 6 + -6 + 3a = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 30 + -6 3a = 30 + -6 Combine like terms: 30 + -6 = 24 3a = 24 Divide each side by '3'. a = 8 Simplifying a = 8
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