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Simplifying -2(t + -3) + 8 = 24 Reorder the terms: -2(-3 + t) + 8 = 24 (-3 * -2 + t * -2) + 8 = 24 (6 + -2t) + 8 = 24 Reorder the terms: 6 + 8 + -2t = 24 Combine like terms: 6 + 8 = 14 14 + -2t = 24 Solving 14 + -2t = 24 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2t = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -2t = 24 + -14 -2t = 24 + -14 Combine like terms: 24 + -14 = 10 -2t = 10 Divide each side by '-2'. t = -5 Simplifying t = -5
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