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Simplifying 6a + -3(3a + -5) = -15 + -30 + -6a + -30 Reorder the terms: 6a + -3(-5 + 3a) = -15 + -30 + -6a + -30 6a + (-5 * -3 + 3a * -3) = -15 + -30 + -6a + -30 6a + (15 + -9a) = -15 + -30 + -6a + -30 Reorder the terms: 15 + 6a + -9a = -15 + -30 + -6a + -30 Combine like terms: 6a + -9a = -3a 15 + -3a = -15 + -30 + -6a + -30 Reorder the terms: 15 + -3a = -15 + -30 + -30 + -6a Combine like terms: -15 + -30 = -45 15 + -3a = -45 + -30 + -6a Combine like terms: -45 + -30 = -75 15 + -3a = -75 + -6a Solving 15 + -3a = -75 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 15 + -3a + 6a = -75 + -6a + 6a Combine like terms: -3a + 6a = 3a 15 + 3a = -75 + -6a + 6a Combine like terms: -6a + 6a = 0 15 + 3a = -75 + 0 15 + 3a = -75 Add '-15' to each side of the equation. 15 + -15 + 3a = -75 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -75 + -15 3a = -75 + -15 Combine like terms: -75 + -15 = -90 3a = -90 Divide each side by '3'. a = -30 Simplifying a = -30
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