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Simplifying 0.4a + 0.7 = -11.9 + -1.4a Reorder the terms: 0.7 + 0.4a = -11.9 + -1.4a Solving 0.7 + 0.4a = -11.9 + -1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.4a' to each side of the equation. 0.7 + 0.4a + 1.4a = -11.9 + -1.4a + 1.4a Combine like terms: 0.4a + 1.4a = 1.8a 0.7 + 1.8a = -11.9 + -1.4a + 1.4a Combine like terms: -1.4a + 1.4a = 0.0 0.7 + 1.8a = -11.9 + 0.0 0.7 + 1.8a = -11.9 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 1.8a = -11.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 1.8a = -11.9 + -0.7 1.8a = -11.9 + -0.7 Combine like terms: -11.9 + -0.7 = -12.6 1.8a = -12.6 Divide each side by '1.8'. a = -7 Simplifying a = -7
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