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Simplifying 6t = 3(t + 4) + -7 Reorder the terms: 6t = 3(4 + t) + -7 6t = (4 * 3 + t * 3) + -7 6t = (12 + 3t) + -7 Reorder the terms: 6t = 12 + -7 + 3t Combine like terms: 12 + -7 = 5 6t = 5 + 3t Solving 6t = 5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 6t + -3t = 5 + 3t + -3t Combine like terms: 6t + -3t = 3t 3t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 3t = 5 + 0 3t = 5 Divide each side by '3'. t = 1.666666667 Simplifying t = 1.666666667
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