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Simplifying -5(4t + -2) + 8t = 4a + -5 Reorder the terms: -5(-2 + 4t) + 8t = 4a + -5 (-2 * -5 + 4t * -5) + 8t = 4a + -5 (10 + -20t) + 8t = 4a + -5 Combine like terms: -20t + 8t = -12t 10 + -12t = 4a + -5 Reorder the terms: 10 + -12t = -5 + 4a Solving 10 + -12t = -5 + 4a Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -12t = -5 + -10 + 4a Combine like terms: 10 + -10 = 0 0 + -12t = -5 + -10 + 4a -12t = -5 + -10 + 4a Combine like terms: -5 + -10 = -15 -12t = -15 + 4a Divide each side by '-12'. t = 1.25 + -0.3333333333a Simplifying t = 1.25 + -0.3333333333a
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