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Simplifying 5t + 6 = -114 + -7t Reorder the terms: 6 + 5t = -114 + -7t Solving 6 + 5t = -114 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 6 + 5t + 7t = -114 + -7t + 7t Combine like terms: 5t + 7t = 12t 6 + 12t = -114 + -7t + 7t Combine like terms: -7t + 7t = 0 6 + 12t = -114 + 0 6 + 12t = -114 Add '-6' to each side of the equation. 6 + -6 + 12t = -114 + -6 Combine like terms: 6 + -6 = 0 0 + 12t = -114 + -6 12t = -114 + -6 Combine like terms: -114 + -6 = -120 12t = -120 Divide each side by '12'. t = -10 Simplifying t = -10
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