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Simplifying 6x2 + 12a + -100 = -10 Reorder the terms: -100 + 12a + 6x2 = -10 Solving -100 + 12a + 6x2 = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 12a + 100 + 6x2 = -10 + 100 Reorder the terms: -100 + 100 + 12a + 6x2 = -10 + 100 Combine like terms: -100 + 100 = 0 0 + 12a + 6x2 = -10 + 100 12a + 6x2 = -10 + 100 Combine like terms: -10 + 100 = 90 12a + 6x2 = 90 Add '-6x2' to each side of the equation. 12a + 6x2 + -6x2 = 90 + -6x2 Combine like terms: 6x2 + -6x2 = 0 12a + 0 = 90 + -6x2 12a = 90 + -6x2 Divide each side by '12'. a = 7.5 + -0.5x2 Simplifying a = 7.5 + -0.5x2
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