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Simplifying -4(t + -1) + 9t = 7t + -8 Reorder the terms: -4(-1 + t) + 9t = 7t + -8 (-1 * -4 + t * -4) + 9t = 7t + -8 (4 + -4t) + 9t = 7t + -8 Combine like terms: -4t + 9t = 5t 4 + 5t = 7t + -8 Reorder the terms: 4 + 5t = -8 + 7t Solving 4 + 5t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 4 + 5t + -7t = -8 + 7t + -7t Combine like terms: 5t + -7t = -2t 4 + -2t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 4 + -2t = -8 + 0 4 + -2t = -8 Add '-4' to each side of the equation. 4 + -4 + -2t = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -8 + -4 -2t = -8 + -4 Combine like terms: -8 + -4 = -12 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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