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Simplifying 8t + -6 = 57 + t Reorder the terms: -6 + 8t = 57 + t Solving -6 + 8t = 57 + 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. -6 + 8t + -1t = 57 + t + -1t Combine like terms: 8t + -1t = 7t -6 + 7t = 57 + t + -1t Combine like terms: t + -1t = 0 -6 + 7t = 57 + 0 -6 + 7t = 57 Add '6' to each side of the equation. -6 + 6 + 7t = 57 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 57 + 6 7t = 57 + 6 Combine like terms: 57 + 6 = 63 7t = 63 Divide each side by '7'. t = 9 Simplifying t = 9
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