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Simplifying 3t + (2 + -1t) = 9t + -16 Remove parenthesis around (2 + -1t) 3t + 2 + -1t = 9t + -16 Reorder the terms: 2 + 3t + -1t = 9t + -16 Combine like terms: 3t + -1t = 2t 2 + 2t = 9t + -16 Reorder the terms: 2 + 2t = -16 + 9t Solving 2 + 2t = -16 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 2 + 2t + -9t = -16 + 9t + -9t Combine like terms: 2t + -9t = -7t 2 + -7t = -16 + 9t + -9t Combine like terms: 9t + -9t = 0 2 + -7t = -16 + 0 2 + -7t = -16 Add '-2' to each side of the equation. 2 + -2 + -7t = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = -16 + -2 -7t = -16 + -2 Combine like terms: -16 + -2 = -18 -7t = -18 Divide each side by '-7'. t = 2.571428571 Simplifying t = 2.571428571
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