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Simplifying 10 + 12t = 7t + -5 Reorder the terms: 10 + 12t = -5 + 7t Solving 10 + 12t = -5 + 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. 10 + 12t + -7t = -5 + 7t + -7t Combine like terms: 12t + -7t = 5t 10 + 5t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 10 + 5t = -5 + 0 10 + 5t = -5 Add '-10' to each side of the equation. 10 + -10 + 5t = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 5t = -5 + -10 5t = -5 + -10 Combine like terms: -5 + -10 = -15 5t = -15 Divide each side by '5'. t = -3 Simplifying t = -3
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