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Simplifying -7a + 0.67(12a + 15) + -10 = 0 Reorder the terms: -7a + 0.67(15 + 12a) + -10 = 0 -7a + (15 * 0.67 + 12a * 0.67) + -10 = 0 -7a + (10.05 + 8.04a) + -10 = 0 Reorder the terms: 10.05 + -10 + -7a + 8.04a = 0 Combine like terms: 10.05 + -10 = 0.05 0.05 + -7a + 8.04a = 0 Combine like terms: -7a + 8.04a = 1.04a 0.05 + 1.04a = 0 Solving 0.05 + 1.04a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + 1.04a = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 1.04a = 0 + -0.05 1.04a = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 1.04a = -0.05 Divide each side by '1.04'. a = -0.04807692308 Simplifying a = -0.04807692308
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