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Simplifying 2 + 4t + -6 + -2t = -3t + -14 Reorder the terms: 2 + -6 + 4t + -2t = -3t + -14 Combine like terms: 2 + -6 = -4 -4 + 4t + -2t = -3t + -14 Combine like terms: 4t + -2t = 2t -4 + 2t = -3t + -14 Reorder the terms: -4 + 2t = -14 + -3t Solving -4 + 2t = -14 + -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. -4 + 2t + 3t = -14 + -3t + 3t Combine like terms: 2t + 3t = 5t -4 + 5t = -14 + -3t + 3t Combine like terms: -3t + 3t = 0 -4 + 5t = -14 + 0 -4 + 5t = -14 Add '4' to each side of the equation. -4 + 4 + 5t = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 5t = -14 + 4 5t = -14 + 4 Combine like terms: -14 + 4 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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