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Simplifying -3a + 57 = 12a + -6(a + -2) Reorder the terms: 57 + -3a = 12a + -6(a + -2) Reorder the terms: 57 + -3a = 12a + -6(-2 + a) 57 + -3a = 12a + (-2 * -6 + a * -6) 57 + -3a = 12a + (12 + -6a) Reorder the terms: 57 + -3a = 12 + 12a + -6a Combine like terms: 12a + -6a = 6a 57 + -3a = 12 + 6a Solving 57 + -3a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 57 + -3a + -6a = 12 + 6a + -6a Combine like terms: -3a + -6a = -9a 57 + -9a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 57 + -9a = 12 + 0 57 + -9a = 12 Add '-57' to each side of the equation. 57 + -57 + -9a = 12 + -57 Combine like terms: 57 + -57 = 0 0 + -9a = 12 + -57 -9a = 12 + -57 Combine like terms: 12 + -57 = -45 -9a = -45 Divide each side by '-9'. a = 5 Simplifying a = 5
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