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Simplifying -5(t + -4) + 7t = 6 + -7 Reorder the terms: -5(-4 + t) + 7t = 6 + -7 (-4 * -5 + t * -5) + 7t = 6 + -7 (20 + -5t) + 7t = 6 + -7 Combine like terms: -5t + 7t = 2t 20 + 2t = 6 + -7 Combine like terms: 6 + -7 = -1 20 + 2t = -1 Solving 20 + 2t = -1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2t = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = -1 + -20 2t = -1 + -20 Combine like terms: -1 + -20 = -21 2t = -21 Divide each side by '2'. t = -10.5 Simplifying t = -10.5
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