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Simplifying 3(t + 7) + 2 = 6t + -2 Reorder the terms: 3(7 + t) + 2 = 6t + -2 (7 * 3 + t * 3) + 2 = 6t + -2 (21 + 3t) + 2 = 6t + -2 Reorder the terms: 21 + 2 + 3t = 6t + -2 Combine like terms: 21 + 2 = 23 23 + 3t = 6t + -2 Reorder the terms: 23 + 3t = -2 + 6t Solving 23 + 3t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 23 + 3t + -6t = -2 + 6t + -6t Combine like terms: 3t + -6t = -3t 23 + -3t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 23 + -3t = -2 + 0 23 + -3t = -2 Add '-23' to each side of the equation. 23 + -23 + -3t = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -3t = -2 + -23 -3t = -2 + -23 Combine like terms: -2 + -23 = -25 -3t = -25 Divide each side by '-3'. t = 8.333333333 Simplifying t = 8.333333333
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