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Simplifying -2(t + -2) + 5t = 9t + -1 Reorder the terms: -2(-2 + t) + 5t = 9t + -1 (-2 * -2 + t * -2) + 5t = 9t + -1 (4 + -2t) + 5t = 9t + -1 Combine like terms: -2t + 5t = 3t 4 + 3t = 9t + -1 Reorder the terms: 4 + 3t = -1 + 9t Solving 4 + 3t = -1 + 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. 4 + 3t + -9t = -1 + 9t + -9t Combine like terms: 3t + -9t = -6t 4 + -6t = -1 + 9t + -9t Combine like terms: 9t + -9t = 0 4 + -6t = -1 + 0 4 + -6t = -1 Add '-4' to each side of the equation. 4 + -4 + -6t = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -6t = -1 + -4 -6t = -1 + -4 Combine like terms: -1 + -4 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333
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