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Simplifying 3t + 13 = t + -12 Reorder the terms: 13 + 3t = t + -12 Reorder the terms: 13 + 3t = -12 + t Solving 13 + 3t = -12 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 13 + 3t + -1t = -12 + t + -1t Combine like terms: 3t + -1t = 2t 13 + 2t = -12 + t + -1t Combine like terms: t + -1t = 0 13 + 2t = -12 + 0 13 + 2t = -12 Add '-13' to each side of the equation. 13 + -13 + 2t = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = -12 + -13 2t = -12 + -13 Combine like terms: -12 + -13 = -25 2t = -25 Divide each side by '2'. t = -12.5 Simplifying t = -12.5
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