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Simplifying 1.15a + 8 + -0.4a = -7 Reorder the terms: 8 + 1.15a + -0.4a = -7 Combine like terms: 1.15a + -0.4a = 0.75a 8 + 0.75a = -7 Solving 8 + 0.75a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.75a = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 0.75a = -7 + -8 0.75a = -7 + -8 Combine like terms: -7 + -8 = -15 0.75a = -15 Divide each side by '0.75'. a = -20 Simplifying a = -20
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