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Simplifying 3t + -12 + t + 2 = 5 + 3t + 2 Reorder the terms: -12 + 2 + 3t + t = 5 + 3t + 2 Combine like terms: -12 + 2 = -10 -10 + 3t + t = 5 + 3t + 2 Combine like terms: 3t + t = 4t -10 + 4t = 5 + 3t + 2 Reorder the terms: -10 + 4t = 5 + 2 + 3t Combine like terms: 5 + 2 = 7 -10 + 4t = 7 + 3t Solving -10 + 4t = 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. -10 + 4t + -3t = 7 + 3t + -3t Combine like terms: 4t + -3t = 1t -10 + 1t = 7 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 1t = 7 + 0 -10 + 1t = 7 Add '10' to each side of the equation. -10 + 10 + 1t = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1t = 7 + 10 1t = 7 + 10 Combine like terms: 7 + 10 = 17 1t = 17 Divide each side by '1'. t = 17 Simplifying t = 17
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