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Simplifying 2.9 = -13.6 + -3.5(-4a + -1) Reorder the terms: 2.9 = -13.6 + -3.5(-1 + -4a) 2.9 = -13.6 + (-1 * -3.5 + -4a * -3.5) 2.9 = -13.6 + (3.5 + 14a) Combine like terms: -13.6 + 3.5 = -10.1 2.9 = -10.1 + 14a Solving 2.9 = -10.1 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 2.9 + -14a = -10.1 + 14a + -14a Combine like terms: 14a + -14a = 0 2.9 + -14a = -10.1 + 0 2.9 + -14a = -10.1 Add '-2.9' to each side of the equation. 2.9 + -2.9 + -14a = -10.1 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + -14a = -10.1 + -2.9 -14a = -10.1 + -2.9 Combine like terms: -10.1 + -2.9 = -13 -14a = -13 Divide each side by '-14'. a = 0.9285714286 Simplifying a = 0.9285714286
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