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Simplifying 2(1 + -4a) = -30 + -4a (1 * 2 + -4a * 2) = -30 + -4a (2 + -8a) = -30 + -4a Solving 2 + -8a = -30 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 2 + -8a + 4a = -30 + -4a + 4a Combine like terms: -8a + 4a = -4a 2 + -4a = -30 + -4a + 4a Combine like terms: -4a + 4a = 0 2 + -4a = -30 + 0 2 + -4a = -30 Add '-2' to each side of the equation. 2 + -2 + -4a = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = -30 + -2 -4a = -30 + -2 Combine like terms: -30 + -2 = -32 -4a = -32 Divide each side by '-4'. a = 8 Simplifying a = 8
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