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Simplifying 6(t + 2) + -76 = -142 Reorder the terms: 6(2 + t) + -76 = -142 (2 * 6 + t * 6) + -76 = -142 (12 + 6t) + -76 = -142 Reorder the terms: 12 + -76 + 6t = -142 Combine like terms: 12 + -76 = -64 -64 + 6t = -142 Solving -64 + 6t = -142 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 6t = -142 + 64 Combine like terms: -64 + 64 = 0 0 + 6t = -142 + 64 6t = -142 + 64 Combine like terms: -142 + 64 = -78 6t = -78 Divide each side by '6'. t = -13 Simplifying t = -13
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