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Simplifying -4(t + -1) + 7t = 5t + -7 Reorder the terms: -4(-1 + t) + 7t = 5t + -7 (-1 * -4 + t * -4) + 7t = 5t + -7 (4 + -4t) + 7t = 5t + -7 Combine like terms: -4t + 7t = 3t 4 + 3t = 5t + -7 Reorder the terms: 4 + 3t = -7 + 5t Solving 4 + 3t = -7 + 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. 4 + 3t + -5t = -7 + 5t + -5t Combine like terms: 3t + -5t = -2t 4 + -2t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + -2t = -7 + 0 4 + -2t = -7 Add '-4' to each side of the equation. 4 + -4 + -2t = -7 + -4 Combine like terms: 4 + -4 = 0 0 + -2t = -7 + -4 -2t = -7 + -4 Combine like terms: -7 + -4 = -11 -2t = -11 Divide each side by '-2'. t = 5.5 Simplifying t = 5.5
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