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Simplifying 14 + -3t + 7t = 15 + 3t + -16 Combine like terms: -3t + 7t = 4t 14 + 4t = 15 + 3t + -16 Reorder the terms: 14 + 4t = 15 + -16 + 3t Combine like terms: 15 + -16 = -1 14 + 4t = -1 + 3t Solving 14 + 4t = -1 + 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. 14 + 4t + -3t = -1 + 3t + -3t Combine like terms: 4t + -3t = 1t 14 + 1t = -1 + 3t + -3t Combine like terms: 3t + -3t = 0 14 + 1t = -1 + 0 14 + 1t = -1 Add '-14' to each side of the equation. 14 + -14 + 1t = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 1t = -1 + -14 1t = -1 + -14 Combine like terms: -1 + -14 = -15 1t = -15 Divide each side by '1'. t = -15 Simplifying t = -15
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