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Simplifying -4t + 4 + 2a = 3a + -12 + -5t Reorder the terms: 4 + 2a + -4t = 3a + -12 + -5t Reorder the terms: 4 + 2a + -4t = -12 + 3a + -5t Solving 4 + 2a + -4t = -12 + 3a + -5t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + 2a + -3a + -4t = -12 + 3a + -3a + -5t Combine like terms: 2a + -3a = -1a 4 + -1a + -4t = -12 + 3a + -3a + -5t Combine like terms: 3a + -3a = 0 4 + -1a + -4t = -12 + 0 + -5t 4 + -1a + -4t = -12 + -5t Add '-4' to each side of the equation. 4 + -1a + -4 + -4t = -12 + -4 + -5t Reorder the terms: 4 + -4 + -1a + -4t = -12 + -4 + -5t Combine like terms: 4 + -4 = 0 0 + -1a + -4t = -12 + -4 + -5t -1a + -4t = -12 + -4 + -5t Combine like terms: -12 + -4 = -16 -1a + -4t = -16 + -5t Add '4t' to each side of the equation. -1a + -4t + 4t = -16 + -5t + 4t Combine like terms: -4t + 4t = 0 -1a + 0 = -16 + -5t + 4t -1a = -16 + -5t + 4t Combine like terms: -5t + 4t = -1t -1a = -16 + -1t Divide each side by '-1'. a = 16 + t Simplifying a = 16 + t
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