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Simplifying 2t + -14 + -1 = -30 + -5t Reorder the terms: -14 + -1 + 2t = -30 + -5t Combine like terms: -14 + -1 = -15 -15 + 2t = -30 + -5t Solving -15 + 2t = -30 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -15 + 2t + 5t = -30 + -5t + 5t Combine like terms: 2t + 5t = 7t -15 + 7t = -30 + -5t + 5t Combine like terms: -5t + 5t = 0 -15 + 7t = -30 + 0 -15 + 7t = -30 Add '15' to each side of the equation. -15 + 15 + 7t = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 7t = -30 + 15 7t = -30 + 15 Combine like terms: -30 + 15 = -15 7t = -15 Divide each side by '7'. t = -2.142857143 Simplifying t = -2.142857143
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