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Simplifying -4(5t + -2) + 3t = 4t + -2 Reorder the terms: -4(-2 + 5t) + 3t = 4t + -2 (-2 * -4 + 5t * -4) + 3t = 4t + -2 (8 + -20t) + 3t = 4t + -2 Combine like terms: -20t + 3t = -17t 8 + -17t = 4t + -2 Reorder the terms: 8 + -17t = -2 + 4t Solving 8 + -17t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 8 + -17t + -4t = -2 + 4t + -4t Combine like terms: -17t + -4t = -21t 8 + -21t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 8 + -21t = -2 + 0 8 + -21t = -2 Add '-8' to each side of the equation. 8 + -8 + -21t = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -21t = -2 + -8 -21t = -2 + -8 Combine like terms: -2 + -8 = -10 -21t = -10 Divide each side by '-21'. t = 0.4761904762 Simplifying t = 0.4761904762
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