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Simplifying 45 = 7t + -12t Combine like terms: 7t + -12t = -5t 45 = -5t Solving 45 = -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 45 + 5t = -5t + 5t Combine like terms: -5t + 5t = 0 45 + 5t = 0 Add '-45' to each side of the equation. 45 + -45 + 5t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5t = 0 + -45 5t = 0 + -45 Combine like terms: 0 + -45 = -45 5t = -45 Divide each side by '5'. t = -9 Simplifying t = -9
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