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Simplifying 14.5 = -16x + -4(-3a + -4) Reorder the terms: 14.5 = -16x + -4(-4 + -3a) 14.5 = -16x + (-4 * -4 + -3a * -4) 14.5 = -16x + (16 + 12a) Reorder the terms: 14.5 = 16 + 12a + -16x Solving 14.5 = 16 + 12a + -16x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 14.5 + -12a = 16 + 12a + -12a + -16x Combine like terms: 12a + -12a = 0 14.5 + -12a = 16 + 0 + -16x 14.5 + -12a = 16 + -16x Add '-14.5' to each side of the equation. 14.5 + -14.5 + -12a = 16 + -14.5 + -16x Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -12a = 16 + -14.5 + -16x -12a = 16 + -14.5 + -16x Combine like terms: 16 + -14.5 = 1.5 -12a = 1.5 + -16x Divide each side by '-12'. a = -0.125 + 1.333333333x Simplifying a = -0.125 + 1.333333333x
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