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Simplifying 5 + 7t = -1(3 + -2t) + -3t 5 + 7t = (3 * -1 + -2t * -1) + -3t 5 + 7t = (-3 + 2t) + -3t Combine like terms: 2t + -3t = -1t 5 + 7t = -3 + -1t Solving 5 + 7t = -3 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 5 + 7t + t = -3 + -1t + t Combine like terms: 7t + t = 8t 5 + 8t = -3 + -1t + t Combine like terms: -1t + t = 0 5 + 8t = -3 + 0 5 + 8t = -3 Add '-5' to each side of the equation. 5 + -5 + 8t = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 8t = -3 + -5 8t = -3 + -5 Combine like terms: -3 + -5 = -8 8t = -8 Divide each side by '8'. t = -1 Simplifying t = -1
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