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Simplifying 3 + -2(3t + -8) = -17 Reorder the terms: 3 + -2(-8 + 3t) = -17 3 + (-8 * -2 + 3t * -2) = -17 3 + (16 + -6t) = -17 Combine like terms: 3 + 16 = 19 19 + -6t = -17 Solving 19 + -6t = -17 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6t = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -6t = -17 + -19 -6t = -17 + -19 Combine like terms: -17 + -19 = -36 -6t = -36 Divide each side by '-6'. t = 6 Simplifying t = 6
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