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Simplifying 3(2a + -1) = -27 + 2a Reorder the terms: 3(-1 + 2a) = -27 + 2a (-1 * 3 + 2a * 3) = -27 + 2a (-3 + 6a) = -27 + 2a Solving -3 + 6a = -27 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -3 + 6a + -2a = -27 + 2a + -2a Combine like terms: 6a + -2a = 4a -3 + 4a = -27 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + 4a = -27 + 0 -3 + 4a = -27 Add '3' to each side of the equation. -3 + 3 + 4a = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = -27 + 3 4a = -27 + 3 Combine like terms: -27 + 3 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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