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Simplifying 9t + -3 = 61 + t Reorder the terms: -3 + 9t = 61 + t Solving -3 + 9t = 61 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + 9t + -1t = 61 + t + -1t Combine like terms: 9t + -1t = 8t -3 + 8t = 61 + t + -1t Combine like terms: t + -1t = 0 -3 + 8t = 61 + 0 -3 + 8t = 61 Add '3' to each side of the equation. -3 + 3 + 8t = 61 + 3 Combine like terms: -3 + 3 = 0 0 + 8t = 61 + 3 8t = 61 + 3 Combine like terms: 61 + 3 = 64 8t = 64 Divide each side by '8'. t = 8 Simplifying t = 8
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