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Simplifying -3(4t + -2) + 4t = 5t + -3 Reorder the terms: -3(-2 + 4t) + 4t = 5t + -3 (-2 * -3 + 4t * -3) + 4t = 5t + -3 (6 + -12t) + 4t = 5t + -3 Combine like terms: -12t + 4t = -8t 6 + -8t = 5t + -3 Reorder the terms: 6 + -8t = -3 + 5t Solving 6 + -8t = -3 + 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 + -8t + -5t = -3 + 5t + -5t Combine like terms: -8t + -5t = -13t 6 + -13t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -13t = -3 + 0 6 + -13t = -3 Add '-6' to each side of the equation. 6 + -6 + -13t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -13t = -3 + -6 -13t = -3 + -6 Combine like terms: -3 + -6 = -9 -13t = -9 Divide each side by '-13'. t = 0.6923076923 Simplifying t = 0.6923076923
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