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Simplifying 7(t + 1) + -1t = 8t + -3 Reorder the terms: 7(1 + t) + -1t = 8t + -3 (1 * 7 + t * 7) + -1t = 8t + -3 (7 + 7t) + -1t = 8t + -3 Combine like terms: 7t + -1t = 6t 7 + 6t = 8t + -3 Reorder the terms: 7 + 6t = -3 + 8t Solving 7 + 6t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 7 + 6t + -8t = -3 + 8t + -8t Combine like terms: 6t + -8t = -2t 7 + -2t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 7 + -2t = -3 + 0 7 + -2t = -3 Add '-7' to each side of the equation. 7 + -7 + -2t = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = -3 + -7 -2t = -3 + -7 Combine like terms: -3 + -7 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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