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Simplifying 64(t + -7) + 6 = 30 Reorder the terms: 64(-7 + t) + 6 = 30 (-7 * 64 + t * 64) + 6 = 30 (-448 + 64t) + 6 = 30 Reorder the terms: -448 + 6 + 64t = 30 Combine like terms: -448 + 6 = -442 -442 + 64t = 30 Solving -442 + 64t = 30 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '442' to each side of the equation. -442 + 442 + 64t = 30 + 442 Combine like terms: -442 + 442 = 0 0 + 64t = 30 + 442 64t = 30 + 442 Combine like terms: 30 + 442 = 472 64t = 472 Divide each side by '64'. t = 7.375 Simplifying t = 7.375
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