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Simplifying 32 + 7t = 8(t + 4) Reorder the terms: 32 + 7t = 8(4 + t) 32 + 7t = (4 * 8 + t * 8) 32 + 7t = (32 + 8t) Add '-32' to each side of the equation. 32 + -32 + 7t = 32 + -32 + 8t Combine like terms: 32 + -32 = 0 0 + 7t = 32 + -32 + 8t 7t = 32 + -32 + 8t Combine like terms: 32 + -32 = 0 7t = 0 + 8t 7t = 8t Solving 7t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 7t + -8t = 8t + -8t Combine like terms: 7t + -8t = -1t -1t = 8t + -8t Combine like terms: 8t + -8t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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