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Simplifying 1.5a + -0.2(5a + -6) = 0 Reorder the terms: 1.5a + -0.2(-6 + 5a) = 0 1.5a + (-6 * -0.2 + 5a * -0.2) = 0 1.5a + (1.2 + -1a) = 0 Reorder the terms: 1.2 + 1.5a + -1a = 0 Combine like terms: 1.5a + -1a = 0.5a 1.2 + 0.5a = 0 Solving 1.2 + 0.5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.5a = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.5a = 0 + -1.2 0.5a = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 0.5a = -1.2 Divide each side by '0.5'. a = -2.4 Simplifying a = -2.4
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