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Simplifying -114 = 6(-2a + -3) Reorder the terms: -114 = 6(-3 + -2a) -114 = (-3 * 6 + -2a * 6) -114 = (-18 + -12a) Solving -114 = -18 + -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. -114 + 12a = -18 + -12a + 12a Combine like terms: -12a + 12a = 0 -114 + 12a = -18 + 0 -114 + 12a = -18 Add '114' to each side of the equation. -114 + 114 + 12a = -18 + 114 Combine like terms: -114 + 114 = 0 0 + 12a = -18 + 114 12a = -18 + 114 Combine like terms: -18 + 114 = 96 12a = 96 Divide each side by '12'. a = 8 Simplifying a = 8
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