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Simplifying 7(12 + 8t) + -6 = 9(7t + 2) + -1t (12 * 7 + 8t * 7) + -6 = 9(7t + 2) + -1t (84 + 56t) + -6 = 9(7t + 2) + -1t Reorder the terms: 84 + -6 + 56t = 9(7t + 2) + -1t Combine like terms: 84 + -6 = 78 78 + 56t = 9(7t + 2) + -1t Reorder the terms: 78 + 56t = 9(2 + 7t) + -1t 78 + 56t = (2 * 9 + 7t * 9) + -1t 78 + 56t = (18 + 63t) + -1t Combine like terms: 63t + -1t = 62t 78 + 56t = 18 + 62t Solving 78 + 56t = 18 + 62t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-62t' to each side of the equation. 78 + 56t + -62t = 18 + 62t + -62t Combine like terms: 56t + -62t = -6t 78 + -6t = 18 + 62t + -62t Combine like terms: 62t + -62t = 0 78 + -6t = 18 + 0 78 + -6t = 18 Add '-78' to each side of the equation. 78 + -78 + -6t = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -6t = 18 + -78 -6t = 18 + -78 Combine like terms: 18 + -78 = -60 -6t = -60 Divide each side by '-6'. t = 10 Simplifying t = 10
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