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Simplifying 8 + -5t + -7 = -9t + -3 Reorder the terms: 8 + -7 + -5t = -9t + -3 Combine like terms: 8 + -7 = 1 1 + -5t = -9t + -3 Reorder the terms: 1 + -5t = -3 + -9t Solving 1 + -5t = -3 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 1 + -5t + 9t = -3 + -9t + 9t Combine like terms: -5t + 9t = 4t 1 + 4t = -3 + -9t + 9t Combine like terms: -9t + 9t = 0 1 + 4t = -3 + 0 1 + 4t = -3 Add '-1' to each side of the equation. 1 + -1 + 4t = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = -3 + -1 4t = -3 + -1 Combine like terms: -3 + -1 = -4 4t = -4 Divide each side by '4'. t = -1 Simplifying t = -1
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