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Simplifying -5(4t + -2) + 7t = 8t + -6 Reorder the terms: -5(-2 + 4t) + 7t = 8t + -6 (-2 * -5 + 4t * -5) + 7t = 8t + -6 (10 + -20t) + 7t = 8t + -6 Combine like terms: -20t + 7t = -13t 10 + -13t = 8t + -6 Reorder the terms: 10 + -13t = -6 + 8t Solving 10 + -13t = -6 + 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. 10 + -13t + -8t = -6 + 8t + -8t Combine like terms: -13t + -8t = -21t 10 + -21t = -6 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -21t = -6 + 0 10 + -21t = -6 Add '-10' to each side of the equation. 10 + -10 + -21t = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -21t = -6 + -10 -21t = -6 + -10 Combine like terms: -6 + -10 = -16 -21t = -16 Divide each side by '-21'. t = 0.7619047619 Simplifying t = 0.7619047619
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