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Simplifying -4(5t + -2) + 3t = 2t + -4 Reorder the terms: -4(-2 + 5t) + 3t = 2t + -4 (-2 * -4 + 5t * -4) + 3t = 2t + -4 (8 + -20t) + 3t = 2t + -4 Combine like terms: -20t + 3t = -17t 8 + -17t = 2t + -4 Reorder the terms: 8 + -17t = -4 + 2t Solving 8 + -17t = -4 + 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. 8 + -17t + -2t = -4 + 2t + -2t Combine like terms: -17t + -2t = -19t 8 + -19t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -19t = -4 + 0 8 + -19t = -4 Add '-8' to each side of the equation. 8 + -8 + -19t = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -19t = -4 + -8 -19t = -4 + -8 Combine like terms: -4 + -8 = -12 -19t = -12 Divide each side by '-19'. t = 0.6315789474 Simplifying t = 0.6315789474
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