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Simplifying -4(5t + -2) + 6t = 7t + -8 Reorder the terms: -4(-2 + 5t) + 6t = 7t + -8 (-2 * -4 + 5t * -4) + 6t = 7t + -8 (8 + -20t) + 6t = 7t + -8 Combine like terms: -20t + 6t = -14t 8 + -14t = 7t + -8 Reorder the terms: 8 + -14t = -8 + 7t Solving 8 + -14t = -8 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -14t + -7t = -8 + 7t + -7t Combine like terms: -14t + -7t = -21t 8 + -21t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -21t = -8 + 0 8 + -21t = -8 Add '-8' to each side of the equation. 8 + -8 + -21t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -21t = -8 + -8 -21t = -8 + -8 Combine like terms: -8 + -8 = -16 -21t = -16 Divide each side by '-21'. t = 0.7619047619 Simplifying t = 0.7619047619
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