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Simplifying 16 = 4 + 3[t + 2] Reorder the terms: 16 = 4 + 3[2 + t] 16 = 4 + [2 * 3 + t * 3] 16 = 4 + [6 + 3t] Combine like terms: 4 + 6 = 10 16 = 10 + 3t Solving 16 = 10 + 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. 16 + -3t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + -3t = 10 + 0 16 + -3t = 10 Add '-16' to each side of the equation. 16 + -16 + -3t = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -3t = 10 + -16 -3t = 10 + -16 Combine like terms: 10 + -16 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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