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Simplifying -4(5t + -4) + 7t = 8t + -3 Reorder the terms: -4(-4 + 5t) + 7t = 8t + -3 (-4 * -4 + 5t * -4) + 7t = 8t + -3 (16 + -20t) + 7t = 8t + -3 Combine like terms: -20t + 7t = -13t 16 + -13t = 8t + -3 Reorder the terms: 16 + -13t = -3 + 8t Solving 16 + -13t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 16 + -13t + -8t = -3 + 8t + -8t Combine like terms: -13t + -8t = -21t 16 + -21t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 16 + -21t = -3 + 0 16 + -21t = -3 Add '-16' to each side of the equation. 16 + -16 + -21t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -21t = -3 + -16 -21t = -3 + -16 Combine like terms: -3 + -16 = -19 -21t = -19 Divide each side by '-21'. t = 0.9047619048 Simplifying t = 0.9047619048
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