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Simplifying 7(t + 1) = 6t + 2t + 3 Reorder the terms: 7(1 + t) = 6t + 2t + 3 (1 * 7 + t * 7) = 6t + 2t + 3 (7 + 7t) = 6t + 2t + 3 Reorder the terms: 7 + 7t = 3 + 6t + 2t Combine like terms: 6t + 2t = 8t 7 + 7t = 3 + 8t Solving 7 + 7t = 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 + 7t + -8t = 3 + 8t + -8t Combine like terms: 7t + -8t = -1t 7 + -1t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 7 + -1t = 3 + 0 7 + -1t = 3 Add '-7' to each side of the equation. 7 + -7 + -1t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 3 + -7 -1t = 3 + -7 Combine like terms: 3 + -7 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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