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Simplifying (8t + 5) + -21 = 7 + -6 Reorder the terms: (5 + 8t) + -21 = 7 + -6 Remove parenthesis around (5 + 8t) 5 + 8t + -21 = 7 + -6 Reorder the terms: 5 + -21 + 8t = 7 + -6 Combine like terms: 5 + -21 = -16 -16 + 8t = 7 + -6 Combine like terms: 7 + -6 = 1 -16 + 8t = 1 Solving -16 + 8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8t = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 8t = 1 + 16 8t = 1 + 16 Combine like terms: 1 + 16 = 17 8t = 17 Divide each side by '8'. t = 2.125 Simplifying t = 2.125
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