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Simplifying 96 = 6(t + -5) + 8t Reorder the terms: 96 = 6(-5 + t) + 8t 96 = (-5 * 6 + t * 6) + 8t 96 = (-30 + 6t) + 8t Combine like terms: 6t + 8t = 14t 96 = -30 + 14t Solving 96 = -30 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 96 + -14t = -30 + 14t + -14t Combine like terms: 14t + -14t = 0 96 + -14t = -30 + 0 96 + -14t = -30 Add '-96' to each side of the equation. 96 + -96 + -14t = -30 + -96 Combine like terms: 96 + -96 = 0 0 + -14t = -30 + -96 -14t = -30 + -96 Combine like terms: -30 + -96 = -126 -14t = -126 Divide each side by '-14'. t = 9 Simplifying t = 9
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