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Simplifying -1(t + -1) + 9t = 3t + -7 Reorder the terms: -1(-1 + t) + 9t = 3t + -7 (-1 * -1 + t * -1) + 9t = 3t + -7 (1 + -1t) + 9t = 3t + -7 Combine like terms: -1t + 9t = 8t 1 + 8t = 3t + -7 Reorder the terms: 1 + 8t = -7 + 3t Solving 1 + 8t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 8t + -3t = -7 + 3t + -3t Combine like terms: 8t + -3t = 5t 1 + 5t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 5t = -7 + 0 1 + 5t = -7 Add '-1' to each side of the equation. 1 + -1 + 5t = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = -7 + -1 5t = -7 + -1 Combine like terms: -7 + -1 = -8 5t = -8 Divide each side by '5'. t = -1.6 Simplifying t = -1.6
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