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Simplifying 15 + 4(2t + -2) + 17 = 55 Reorder the terms: 15 + 4(-2 + 2t) + 17 = 55 15 + (-2 * 4 + 2t * 4) + 17 = 55 15 + (-8 + 8t) + 17 = 55 Reorder the terms: 15 + -8 + 17 + 8t = 55 Combine like terms: 15 + -8 = 7 7 + 17 + 8t = 55 Combine like terms: 7 + 17 = 24 24 + 8t = 55 Solving 24 + 8t = 55 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8t = 55 + -24 Combine like terms: 24 + -24 = 0 0 + 8t = 55 + -24 8t = 55 + -24 Combine like terms: 55 + -24 = 31 8t = 31 Divide each side by '8'. t = 3.875 Simplifying t = 3.875
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