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Simplifying -4(t + -1) + 7t = 8t + -9 Reorder the terms: -4(-1 + t) + 7t = 8t + -9 (-1 * -4 + t * -4) + 7t = 8t + -9 (4 + -4t) + 7t = 8t + -9 Combine like terms: -4t + 7t = 3t 4 + 3t = 8t + -9 Reorder the terms: 4 + 3t = -9 + 8t Solving 4 + 3t = -9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 4 + 3t + -8t = -9 + 8t + -8t Combine like terms: 3t + -8t = -5t 4 + -5t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 4 + -5t = -9 + 0 4 + -5t = -9 Add '-4' to each side of the equation. 4 + -4 + -5t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -5t = -9 + -4 -5t = -9 + -4 Combine like terms: -9 + -4 = -13 -5t = -13 Divide each side by '-5'. t = 2.6 Simplifying t = 2.6
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