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Simplifying t + 7 = 3t + 13 Reorder the terms: 7 + t = 3t + 13 Reorder the terms: 7 + t = 13 + 3t Solving 7 + t = 13 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7 + t + -3t = 13 + 3t + -3t Combine like terms: t + -3t = -2t 7 + -2t = 13 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + -2t = 13 + 0 7 + -2t = 13 Add '-7' to each side of the equation. 7 + -7 + -2t = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = 13 + -7 -2t = 13 + -7 Combine like terms: 13 + -7 = 6 -2t = 6 Divide each side by '-2'. t = -3 Simplifying t = -3
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