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Simplifying 6(t + 5) = -38 Reorder the terms: 6(5 + t) = -38 (5 * 6 + t * 6) = -38 (30 + 6t) = -38 Solving 30 + 6t = -38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6t = -38 + -30 Combine like terms: 30 + -30 = 0 0 + 6t = -38 + -30 6t = -38 + -30 Combine like terms: -38 + -30 = -68 6t = -68 Divide each side by '6'. t = -11.33333333 Simplifying t = -11.33333333
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