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Simplifying -102 = 6(2a + -1) Reorder the terms: -102 = 6(-1 + 2a) -102 = (-1 * 6 + 2a * 6) -102 = (-6 + 12a) Solving -102 = -6 + 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. -102 + -12a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 -102 + -12a = -6 + 0 -102 + -12a = -6 Add '102' to each side of the equation. -102 + 102 + -12a = -6 + 102 Combine like terms: -102 + 102 = 0 0 + -12a = -6 + 102 -12a = -6 + 102 Combine like terms: -6 + 102 = 96 -12a = 96 Divide each side by '-12'. a = -8 Simplifying a = -8
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