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Simplifying -4(5t + -5) + 5t = 6t + -2 Reorder the terms: -4(-5 + 5t) + 5t = 6t + -2 (-5 * -4 + 5t * -4) + 5t = 6t + -2 (20 + -20t) + 5t = 6t + -2 Combine like terms: -20t + 5t = -15t 20 + -15t = 6t + -2 Reorder the terms: 20 + -15t = -2 + 6t Solving 20 + -15t = -2 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 20 + -15t + -6t = -2 + 6t + -6t Combine like terms: -15t + -6t = -21t 20 + -21t = -2 + 6t + -6t Combine like terms: 6t + -6t = 0 20 + -21t = -2 + 0 20 + -21t = -2 Add '-20' to each side of the equation. 20 + -20 + -21t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -21t = -2 + -20 -21t = -2 + -20 Combine like terms: -2 + -20 = -22 -21t = -22 Divide each side by '-21'. t = 1.047619048 Simplifying t = 1.047619048
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