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Simplifying (8t + 30) + (26 + -16) = 23 Reorder the terms: (30 + 8t) + (26 + -16) = 23 Remove parenthesis around (30 + 8t) 30 + 8t + (26 + -16) = 23 Combine like terms: 26 + -16 = 10 30 + 8t + (10) = 23 30 + 8t + 10 = 23 Reorder the terms: 30 + 10 + 8t = 23 Combine like terms: 30 + 10 = 40 40 + 8t = 23 Solving 40 + 8t = 23 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8t = 23 + -40 Combine like terms: 40 + -40 = 0 0 + 8t = 23 + -40 8t = 23 + -40 Combine like terms: 23 + -40 = -17 8t = -17 Divide each side by '8'. t = -2.125 Simplifying t = -2.125
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