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Simplifying 4a + -4 = 12a + -52 Reorder the terms: -4 + 4a = 12a + -52 Reorder the terms: -4 + 4a = -52 + 12a Solving -4 + 4a = -52 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -4 + 4a + -12a = -52 + 12a + -12a Combine like terms: 4a + -12a = -8a -4 + -8a = -52 + 12a + -12a Combine like terms: 12a + -12a = 0 -4 + -8a = -52 + 0 -4 + -8a = -52 Add '4' to each side of the equation. -4 + 4 + -8a = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -8a = -52 + 4 -8a = -52 + 4 Combine like terms: -52 + 4 = -48 -8a = -48 Divide each side by '-8'. a = 6 Simplifying a = 6
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