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Simplifying 2t + 13 = -7 + -3t Reorder the terms: 13 + 2t = -7 + -3t Solving 13 + 2t = -7 + -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 + 2t + 3t = -7 + -3t + 3t Combine like terms: 2t + 3t = 5t 13 + 5t = -7 + -3t + 3t Combine like terms: -3t + 3t = 0 13 + 5t = -7 + 0 13 + 5t = -7 Add '-13' to each side of the equation. 13 + -13 + 5t = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 5t = -7 + -13 5t = -7 + -13 Combine like terms: -7 + -13 = -20 5t = -20 Divide each side by '5'. t = -4 Simplifying t = -4
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