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Simplifying 5t + 13 = -3 + 2t + 4 Reorder the terms: 13 + 5t = -3 + 2t + 4 Reorder the terms: 13 + 5t = -3 + 4 + 2t Combine like terms: -3 + 4 = 1 13 + 5t = 1 + 2t Solving 13 + 5t = 1 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 13 + 5t + -2t = 1 + 2t + -2t Combine like terms: 5t + -2t = 3t 13 + 3t = 1 + 2t + -2t Combine like terms: 2t + -2t = 0 13 + 3t = 1 + 0 13 + 3t = 1 Add '-13' to each side of the equation. 13 + -13 + 3t = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 3t = 1 + -13 3t = 1 + -13 Combine like terms: 1 + -13 = -12 3t = -12 Divide each side by '3'. t = -4 Simplifying t = -4
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