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Simplifying -113 = 1 + 6(2a + -3) Reorder the terms: -113 = 1 + 6(-3 + 2a) -113 = 1 + (-3 * 6 + 2a * 6) -113 = 1 + (-18 + 12a) Combine like terms: 1 + -18 = -17 -113 = -17 + 12a Solving -113 = -17 + 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. -113 + -12a = -17 + 12a + -12a Combine like terms: 12a + -12a = 0 -113 + -12a = -17 + 0 -113 + -12a = -17 Add '113' to each side of the equation. -113 + 113 + -12a = -17 + 113 Combine like terms: -113 + 113 = 0 0 + -12a = -17 + 113 -12a = -17 + 113 Combine like terms: -17 + 113 = 96 -12a = 96 Divide each side by '-12'. a = -8 Simplifying a = -8
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