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Simplifying 6(t + -12) + -76 = -142 Reorder the terms: 6(-12 + t) + -76 = -142 (-12 * 6 + t * 6) + -76 = -142 (-72 + 6t) + -76 = -142 Reorder the terms: -72 + -76 + 6t = -142 Combine like terms: -72 + -76 = -148 -148 + 6t = -142 Solving -148 + 6t = -142 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '148' to each side of the equation. -148 + 148 + 6t = -142 + 148 Combine like terms: -148 + 148 = 0 0 + 6t = -142 + 148 6t = -142 + 148 Combine like terms: -142 + 148 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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