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Simplifying -30 + -1a = -4(6a + -4) Reorder the terms: -30 + -1a = -4(-4 + 6a) -30 + -1a = (-4 * -4 + 6a * -4) -30 + -1a = (16 + -24a) Solving -30 + -1a = 16 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -30 + -1a + 24a = 16 + -24a + 24a Combine like terms: -1a + 24a = 23a -30 + 23a = 16 + -24a + 24a Combine like terms: -24a + 24a = 0 -30 + 23a = 16 + 0 -30 + 23a = 16 Add '30' to each side of the equation. -30 + 30 + 23a = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 23a = 16 + 30 23a = 16 + 30 Combine like terms: 16 + 30 = 46 23a = 46 Divide each side by '23'. a = 2 Simplifying a = 2
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