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Simplifying 4t = 7t + -3(5 + 2t) 4t = 7t + (5 * -3 + 2t * -3) 4t = 7t + (-15 + -6t) Reorder the terms: 4t = -15 + 7t + -6t Combine like terms: 7t + -6t = 1t 4t = -15 + 1t Solving 4t = -15 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 4t + -1t = -15 + 1t + -1t Combine like terms: 4t + -1t = 3t 3t = -15 + 1t + -1t Combine like terms: 1t + -1t = 0 3t = -15 + 0 3t = -15 Divide each side by '3'. t = -5 Simplifying t = -5
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