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Simplifying 2t + -5 = 7t + 12 Reorder the terms: -5 + 2t = 7t + 12 Reorder the terms: -5 + 2t = 12 + 7t Solving -5 + 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. -5 + 2t + -7t = 12 + 7t + -7t Combine like terms: 2t + -7t = -5t -5 + -5t = 12 + 7t + -7t Combine like terms: 7t + -7t = 0 -5 + -5t = 12 + 0 -5 + -5t = 12 Add '5' to each side of the equation. -5 + 5 + -5t = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -5t = 12 + 5 -5t = 12 + 5 Combine like terms: 12 + 5 = 17 -5t = 17 Divide each side by '-5'. t = -3.4 Simplifying t = -3.4
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