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Simplifying -3(2t + -2) + 4t = 5t + -5 Reorder the terms: -3(-2 + 2t) + 4t = 5t + -5 (-2 * -3 + 2t * -3) + 4t = 5t + -5 (6 + -6t) + 4t = 5t + -5 Combine like terms: -6t + 4t = -2t 6 + -2t = 5t + -5 Reorder the terms: 6 + -2t = -5 + 5t Solving 6 + -2t = -5 + 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. 6 + -2t + -5t = -5 + 5t + -5t Combine like terms: -2t + -5t = -7t 6 + -7t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -7t = -5 + 0 6 + -7t = -5 Add '-6' to each side of the equation. 6 + -6 + -7t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -5 + -6 -7t = -5 + -6 Combine like terms: -5 + -6 = -11 -7t = -11 Divide each side by '-7'. t = 1.571428571 Simplifying t = 1.571428571
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