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