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