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Simplifying -2(t + -1) + 4t = 5t + -9 Reorder the terms: -2(-1 + t) + 4t = 5t + -9 (-1 * -2 + t * -2) + 4t = 5t + -9 (2 + -2t) + 4t = 5t + -9 Combine like terms: -2t + 4t = 2t 2 + 2t = 5t + -9 Reorder the terms: 2 + 2t = -9 + 5t Solving 2 + 2t = -9 + 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. 2 + 2t + -5t = -9 + 5t + -5t Combine like terms: 2t + -5t = -3t 2 + -3t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -3t = -9 + 0 2 + -3t = -9 Add '-2' to each side of the equation. 2 + -2 + -3t = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = -9 + -2 -3t = -9 + -2 Combine like terms: -9 + -2 = -11 -3t = -11 Divide each side by '-3'. t = 3.666666667 Simplifying t = 3.666666667
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