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Simplifying -7a + 0.75(12a + 15) + -10 = 0 Reorder the terms: -7a + 0.75(15 + 12a) + -10 = 0 -7a + (15 * 0.75 + 12a * 0.75) + -10 = 0 -7a + (11.25 + 9a) + -10 = 0 Reorder the terms: 11.25 + -10 + -7a + 9a = 0 Combine like terms: 11.25 + -10 = 1.25 1.25 + -7a + 9a = 0 Combine like terms: -7a + 9a = 2a 1.25 + 2a = 0 Solving 1.25 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + 2a = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 2a = 0 + -1.25 2a = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 2a = -1.25 Divide each side by '2'. a = -0.625 Simplifying a = -0.625
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