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Simplifying 16 + 7t = 8(t + 12) Reorder the terms: 16 + 7t = 8(12 + t) 16 + 7t = (12 * 8 + t * 8) 16 + 7t = (96 + 8t) Solving 16 + 7t = 96 + 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. 16 + 7t + -8t = 96 + 8t + -8t Combine like terms: 7t + -8t = -1t 16 + -1t = 96 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -1t = 96 + 0 16 + -1t = 96 Add '-16' to each side of the equation. 16 + -16 + -1t = 96 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = 96 + -16 -1t = 96 + -16 Combine like terms: 96 + -16 = 80 -1t = 80 Divide each side by '-1'. t = -80 Simplifying t = -80
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