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Simplifying a + 1.5(a + 8) = 10 Reorder the terms: a + 1.5(8 + a) = 10 a + (8 * 1.5 + a * 1.5) = 10 a + (12 + 1.5a) = 10 Reorder the terms: 12 + a + 1.5a = 10 Combine like terms: a + 1.5a = 2.5a 12 + 2.5a = 10 Solving 12 + 2.5a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2.5a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2.5a = 10 + -12 2.5a = 10 + -12 Combine like terms: 10 + -12 = -2 2.5a = -2 Divide each side by '2.5'. a = -0.8 Simplifying a = -0.8
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