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Simplifying t + 13 = 3t + 4 Reorder the terms: 13 + t = 3t + 4 Reorder the terms: 13 + t = 4 + 3t Solving 13 + t = 4 + 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. 13 + t + -3t = 4 + 3t + -3t Combine like terms: t + -3t = -2t 13 + -2t = 4 + 3t + -3t Combine like terms: 3t + -3t = 0 13 + -2t = 4 + 0 13 + -2t = 4 Add '-13' to each side of the equation. 13 + -13 + -2t = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -2t = 4 + -13 -2t = 4 + -13 Combine like terms: 4 + -13 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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