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Simplifying 3 + -5t = 10 + -12t Solving 3 + -5t = 10 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 3 + -5t + 12t = 10 + -12t + 12t Combine like terms: -5t + 12t = 7t 3 + 7t = 10 + -12t + 12t Combine like terms: -12t + 12t = 0 3 + 7t = 10 + 0 3 + 7t = 10 Add '-3' to each side of the equation. 3 + -3 + 7t = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7t = 10 + -3 7t = 10 + -3 Combine like terms: 10 + -3 = 7 7t = 7 Divide each side by '7'. t = 1 Simplifying t = 1
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