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Simplifying 4(3 + -6a) + 4a = -27 + -7a (3 * 4 + -6a * 4) + 4a = -27 + -7a (12 + -24a) + 4a = -27 + -7a Combine like terms: -24a + 4a = -20a 12 + -20a = -27 + -7a Solving 12 + -20a = -27 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 12 + -20a + 7a = -27 + -7a + 7a Combine like terms: -20a + 7a = -13a 12 + -13a = -27 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + -13a = -27 + 0 12 + -13a = -27 Add '-12' to each side of the equation. 12 + -12 + -13a = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -13a = -27 + -12 -13a = -27 + -12 Combine like terms: -27 + -12 = -39 -13a = -39 Divide each side by '-13'. a = 3 Simplifying a = 3
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