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Simplifying 54 + -6t + t = 7t + 6 Combine like terms: -6t + t = -5t 54 + -5t = 7t + 6 Reorder the terms: 54 + -5t = 6 + 7t Solving 54 + -5t = 6 + 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. 54 + -5t + -7t = 6 + 7t + -7t Combine like terms: -5t + -7t = -12t 54 + -12t = 6 + 7t + -7t Combine like terms: 7t + -7t = 0 54 + -12t = 6 + 0 54 + -12t = 6 Add '-54' to each side of the equation. 54 + -54 + -12t = 6 + -54 Combine like terms: 54 + -54 = 0 0 + -12t = 6 + -54 -12t = 6 + -54 Combine like terms: 6 + -54 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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