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Simplifying 2.9 = -13.6a + -3.5(-4a + -1) Reorder the terms: 2.9 = -13.6a + -3.5(-1 + -4a) 2.9 = -13.6a + (-1 * -3.5 + -4a * -3.5) 2.9 = -13.6a + (3.5 + 14a) Reorder the terms: 2.9 = 3.5 + -13.6a + 14a Combine like terms: -13.6a + 14a = 0.4a 2.9 = 3.5 + 0.4a Solving 2.9 = 3.5 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 2.9 + -0.4a = 3.5 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 2.9 + -0.4a = 3.5 + 0.0 2.9 + -0.4a = 3.5 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -0.4a = 3.5 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -0.4a = 3.5 + -2.9 -0.4a = 3.5 + -2.9 Combine like terms: 3.5 + -2.9 = 0.6 -0.4a = 0.6 Divide each side by '-0.4'. a = -1.5 Simplifying a = -1.5
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