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Simplifying -6(2a + 1) = -102 Reorder the terms: -6(1 + 2a) = -102 (1 * -6 + 2a * -6) = -102 (-6 + -12a) = -102 Solving -6 + -12a = -102 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12a = -102 + 6 Combine like terms: -6 + 6 = 0 0 + -12a = -102 + 6 -12a = -102 + 6 Combine like terms: -102 + 6 = -96 -12a = -96 Divide each side by '-12'. a = 8 Simplifying a = 8
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