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Simplifying 1.5a + 8 + -0.4 = -7 Reorder the terms: 8 + -0.4 + 1.5a = -7 Combine like terms: 8 + -0.4 = 7.6 7.6 + 1.5a = -7 Solving 7.6 + 1.5a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.6' to each side of the equation. 7.6 + -7.6 + 1.5a = -7 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + 1.5a = -7 + -7.6 1.5a = -7 + -7.6 Combine like terms: -7 + -7.6 = -14.6 1.5a = -14.6 Divide each side by '1.5'. a = -9.733333333 Simplifying a = -9.733333333
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