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Simplifying 7t + 5t + 18 + -6 = 9t + -3t + -20 Reorder the terms: 18 + -6 + 7t + 5t = 9t + -3t + -20 Combine like terms: 18 + -6 = 12 12 + 7t + 5t = 9t + -3t + -20 Combine like terms: 7t + 5t = 12t 12 + 12t = 9t + -3t + -20 Reorder the terms: 12 + 12t = -20 + 9t + -3t Combine like terms: 9t + -3t = 6t 12 + 12t = -20 + 6t Solving 12 + 12t = -20 + 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 + 12t + -6t = -20 + 6t + -6t Combine like terms: 12t + -6t = 6t 12 + 6t = -20 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + 6t = -20 + 0 12 + 6t = -20 Add '-12' to each side of the equation. 12 + -12 + 6t = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 6t = -20 + -12 6t = -20 + -12 Combine like terms: -20 + -12 = -32 6t = -32 Divide each side by '6'. t = -5.333333333 Simplifying t = -5.333333333
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