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Simplifying 3(1 + -2t) + -2 = 16 + 3t (1 * 3 + -2t * 3) + -2 = 16 + 3t (3 + -6t) + -2 = 16 + 3t Reorder the terms: 3 + -2 + -6t = 16 + 3t Combine like terms: 3 + -2 = 1 1 + -6t = 16 + 3t Solving 1 + -6t = 16 + 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. 1 + -6t + -3t = 16 + 3t + -3t Combine like terms: -6t + -3t = -9t 1 + -9t = 16 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -9t = 16 + 0 1 + -9t = 16 Add '-1' to each side of the equation. 1 + -1 + -9t = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -9t = 16 + -1 -9t = 16 + -1 Combine like terms: 16 + -1 = 15 -9t = 15 Divide each side by '-9'. t = -1.666666667 Simplifying t = -1.666666667
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