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Simplifying -2(3t + -4) + 4t = 5t + -2 Reorder the terms: -2(-4 + 3t) + 4t = 5t + -2 (-4 * -2 + 3t * -2) + 4t = 5t + -2 (8 + -6t) + 4t = 5t + -2 Combine like terms: -6t + 4t = -2t 8 + -2t = 5t + -2 Reorder the terms: 8 + -2t = -2 + 5t Solving 8 + -2t = -2 + 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. 8 + -2t + -5t = -2 + 5t + -5t Combine like terms: -2t + -5t = -7t 8 + -7t = -2 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -7t = -2 + 0 8 + -7t = -2 Add '-8' to each side of the equation. 8 + -8 + -7t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -7t = -2 + -8 -7t = -2 + -8 Combine like terms: -2 + -8 = -10 -7t = -10 Divide each side by '-7'. t = 1.428571429 Simplifying t = 1.428571429
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