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Simplifying 2t + 3 = 7t + -12 Reorder the terms: 3 + 2t = 7t + -12 Reorder the terms: 3 + 2t = -12 + 7t Solving 3 + 2t = -12 + 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. 3 + 2t + -7t = -12 + 7t + -7t Combine like terms: 2t + -7t = -5t 3 + -5t = -12 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -5t = -12 + 0 3 + -5t = -12 Add '-3' to each side of the equation. 3 + -3 + -5t = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = -12 + -3 -5t = -12 + -3 Combine like terms: -12 + -3 = -15 -5t = -15 Divide each side by '-5'. t = 3 Simplifying t = 3
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