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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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