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Simplifying -6(-1a + 4) = 3a + -30 Reorder the terms: -6(4 + -1a) = 3a + -30 (4 * -6 + -1a * -6) = 3a + -30 (-24 + 6a) = 3a + -30 Reorder the terms: -24 + 6a = -30 + 3a Solving -24 + 6a = -30 + 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. -24 + 6a + -3a = -30 + 3a + -3a Combine like terms: 6a + -3a = 3a -24 + 3a = -30 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 3a = -30 + 0 -24 + 3a = -30 Add '24' to each side of the equation. -24 + 24 + 3a = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = -30 + 24 3a = -30 + 24 Combine like terms: -30 + 24 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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