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Simplifying 12 + -1t = 6(t + 12) Reorder the terms: 12 + -1t = 6(12 + t) 12 + -1t = (12 * 6 + t * 6) 12 + -1t = (72 + 6t) Solving 12 + -1t = 72 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 12 + -1t + -6t = 72 + 6t + -6t Combine like terms: -1t + -6t = -7t 12 + -7t = 72 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -7t = 72 + 0 12 + -7t = 72 Add '-12' to each side of the equation. 12 + -12 + -7t = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = 72 + -12 -7t = 72 + -12 Combine like terms: 72 + -12 = 60 -7t = 60 Divide each side by '-7'. t = -8.571428571 Simplifying t = -8.571428571
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