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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 = -88 -88 + 6t = -142 Solving -88 + 6t = -142 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 6t = -142 + 88 Combine like terms: -88 + 88 = 0 0 + 6t = -142 + 88 6t = -142 + 88 Combine like terms: -142 + 88 = -54 6t = -54 Divide each side by '6'. t = -9 Simplifying t = -9
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