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Simplifying -5(t + -1) + 7t = 4t + -9 Reorder the terms: -5(-1 + t) + 7t = 4t + -9 (-1 * -5 + t * -5) + 7t = 4t + -9 (5 + -5t) + 7t = 4t + -9 Combine like terms: -5t + 7t = 2t 5 + 2t = 4t + -9 Reorder the terms: 5 + 2t = -9 + 4t Solving 5 + 2t = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + 2t + -4t = -9 + 4t + -4t Combine like terms: 2t + -4t = -2t 5 + -2t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + -2t = -9 + 0 5 + -2t = -9 Add '-5' to each side of the equation. 5 + -5 + -2t = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = -9 + -5 -2t = -9 + -5 Combine like terms: -9 + -5 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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