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Simplifying -4(3t + -4) + 7t = 2t + -2 Reorder the terms: -4(-4 + 3t) + 7t = 2t + -2 (-4 * -4 + 3t * -4) + 7t = 2t + -2 (16 + -12t) + 7t = 2t + -2 Combine like terms: -12t + 7t = -5t 16 + -5t = 2t + -2 Reorder the terms: 16 + -5t = -2 + 2t Solving 16 + -5t = -2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 16 + -5t + -2t = -2 + 2t + -2t Combine like terms: -5t + -2t = -7t 16 + -7t = -2 + 2t + -2t Combine like terms: 2t + -2t = 0 16 + -7t = -2 + 0 16 + -7t = -2 Add '-16' to each side of the equation. 16 + -16 + -7t = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -7t = -2 + -16 -7t = -2 + -16 Combine like terms: -2 + -16 = -18 -7t = -18 Divide each side by '-7'. t = 2.571428571 Simplifying t = 2.571428571
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