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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 = -4a 14.5 = 16 + -4a Solving 14.5 = 16 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 14.5 + 4a = 16 + -4a + 4a Combine like terms: -4a + 4a = 0 14.5 + 4a = 16 + 0 14.5 + 4a = 16 Add '-14.5' to each side of the equation. 14.5 + -14.5 + 4a = 16 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 4a = 16 + -14.5 4a = 16 + -14.5 Combine like terms: 16 + -14.5 = 1.5 4a = 1.5 Divide each side by '4'. a = 0.375 Simplifying a = 0.375
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