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Simplifying -2(-3a + 8) + 6a = -100 Reorder the terms: -2(8 + -3a) + 6a = -100 (8 * -2 + -3a * -2) + 6a = -100 (-16 + 6a) + 6a = -100 Combine like terms: 6a + 6a = 12a -16 + 12a = -100 Solving -16 + 12a = -100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12a = -100 + 16 Combine like terms: -16 + 16 = 0 0 + 12a = -100 + 16 12a = -100 + 16 Combine like terms: -100 + 16 = -84 12a = -84 Divide each side by '12'. a = -7 Simplifying a = -7
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