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Simplifying 21 + 9t + -1(5t + -7) = -8 Reorder the terms: 21 + 9t + -1(-7 + 5t) = -8 21 + 9t + (-7 * -1 + 5t * -1) = -8 21 + 9t + (7 + -5t) = -8 Reorder the terms: 21 + 7 + 9t + -5t = -8 Combine like terms: 21 + 7 = 28 28 + 9t + -5t = -8 Combine like terms: 9t + -5t = 4t 28 + 4t = -8 Solving 28 + 4t = -8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4t = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 4t = -8 + -28 4t = -8 + -28 Combine like terms: -8 + -28 = -36 4t = -36 Divide each side by '4'. t = -9 Simplifying t = -9
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