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Simplifying 12(-1a + 42) = -12(-7a + 6) Reorder the terms: 12(42 + -1a) = -12(-7a + 6) (42 * 12 + -1a * 12) = -12(-7a + 6) (504 + -12a) = -12(-7a + 6) Reorder the terms: 504 + -12a = -12(6 + -7a) 504 + -12a = (6 * -12 + -7a * -12) 504 + -12a = (-72 + 84a) Solving 504 + -12a = -72 + 84a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84a' to each side of the equation. 504 + -12a + -84a = -72 + 84a + -84a Combine like terms: -12a + -84a = -96a 504 + -96a = -72 + 84a + -84a Combine like terms: 84a + -84a = 0 504 + -96a = -72 + 0 504 + -96a = -72 Add '-504' to each side of the equation. 504 + -504 + -96a = -72 + -504 Combine like terms: 504 + -504 = 0 0 + -96a = -72 + -504 -96a = -72 + -504 Combine like terms: -72 + -504 = -576 -96a = -576 Divide each side by '-96'. a = 6 Simplifying a = 6
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