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Simplifying 8 + -3(2t + -3) = 55 Reorder the terms: 8 + -3(-3 + 2t) = 55 8 + (-3 * -3 + 2t * -3) = 55 8 + (9 + -6t) = 55 Combine like terms: 8 + 9 = 17 17 + -6t = 55 Solving 17 + -6t = 55 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6t = 55 + -17 Combine like terms: 17 + -17 = 0 0 + -6t = 55 + -17 -6t = 55 + -17 Combine like terms: 55 + -17 = 38 -6t = 38 Divide each side by '-6'. t = -6.333333333 Simplifying t = -6.333333333
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