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