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Simplifying 27 + -7a = -1(3a + -3) Reorder the terms: 27 + -7a = -1(-3 + 3a) 27 + -7a = (-3 * -1 + 3a * -1) 27 + -7a = (3 + -3a) Solving 27 + -7a = 3 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 27 + -7a + 3a = 3 + -3a + 3a Combine like terms: -7a + 3a = -4a 27 + -4a = 3 + -3a + 3a Combine like terms: -3a + 3a = 0 27 + -4a = 3 + 0 27 + -4a = 3 Add '-27' to each side of the equation. 27 + -27 + -4a = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4a = 3 + -27 -4a = 3 + -27 Combine like terms: 3 + -27 = -24 -4a = -24 Divide each side by '-4'. a = 6 Simplifying a = 6
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