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Simplifying 10 = 2 + 3(t + 2) Reorder the terms: 10 = 2 + 3(2 + t) 10 = 2 + (2 * 3 + t * 3) 10 = 2 + (6 + 3t) Combine like terms: 2 + 6 = 8 10 = 8 + 3t Solving 10 = 8 + 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. 10 + -3t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -3t = 8 + 0 10 + -3t = 8 Add '-10' to each side of the equation. 10 + -10 + -3t = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 8 + -10 -3t = 8 + -10 Combine like terms: 8 + -10 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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