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Simplifying 16a + 7t + -12 + 5a + -9t = 0 Reorder the terms: -12 + 16a + 5a + 7t + -9t = 0 Combine like terms: 16a + 5a = 21a -12 + 21a + 7t + -9t = 0 Combine like terms: 7t + -9t = -2t -12 + 21a + -2t = 0 Solving -12 + 21a + -2t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 21a + 12 + -2t = 0 + 12 Reorder the terms: -12 + 12 + 21a + -2t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 21a + -2t = 0 + 12 21a + -2t = 0 + 12 Combine like terms: 0 + 12 = 12 21a + -2t = 12 Add '2t' to each side of the equation. 21a + -2t + 2t = 12 + 2t Combine like terms: -2t + 2t = 0 21a + 0 = 12 + 2t 21a = 12 + 2t Divide each side by '21'. a = 0.5714285714 + 0.09523809524t Simplifying a = 0.5714285714 + 0.09523809524t
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