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Simplifying 14.5 = 16a + -4(-3a + -4) Reorder the terms: 14.5 = 16a + -4(-4 + -3a) 14.5 = 16a + (-4 * -4 + -3a * -4) 14.5 = 16a + (16 + 12a) Reorder the terms: 14.5 = 16 + 16a + 12a Combine like terms: 16a + 12a = 28a 14.5 = 16 + 28a Solving 14.5 = 16 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. 14.5 + -28a = 16 + 28a + -28a Combine like terms: 28a + -28a = 0 14.5 + -28a = 16 + 0 14.5 + -28a = 16 Add '-14.5' to each side of the equation. 14.5 + -14.5 + -28a = 16 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -28a = 16 + -14.5 -28a = 16 + -14.5 Combine like terms: 16 + -14.5 = 1.5 -28a = 1.5 Divide each side by '-28'. a = -0.05357142857 Simplifying a = -0.05357142857
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