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Simplifying 9t + 0.5(10 + -88) = -38 + 6 Combine like terms: 10 + -88 = -78 9t + 0.5(-78) = -38 + 6 Multiply 0.5 * -78 9t + -39 = -38 + 6 Reorder the terms: -39 + 9t = -38 + 6 Combine like terms: -38 + 6 = -32 -39 + 9t = -32 Solving -39 + 9t = -32 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 9t = -32 + 39 Combine like terms: -39 + 39 = 0 0 + 9t = -32 + 39 9t = -32 + 39 Combine like terms: -32 + 39 = 7 9t = 7 Divide each side by '9'. t = 0.7777777778 Simplifying t = 0.7777777778
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