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Simplifying 4(2 + -3a) = -2a + -27 (2 * 4 + -3a * 4) = -2a + -27 (8 + -12a) = -2a + -27 Reorder the terms: 8 + -12a = -27 + -2a Solving 8 + -12a = -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. 8 + -12a + 2a = -27 + -2a + 2a Combine like terms: -12a + 2a = -10a 8 + -10a = -27 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + -10a = -27 + 0 8 + -10a = -27 Add '-8' to each side of the equation. 8 + -8 + -10a = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -10a = -27 + -8 -10a = -27 + -8 Combine like terms: -27 + -8 = -35 -10a = -35 Divide each side by '-10'. a = 3.5 Simplifying a = 3.5
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