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