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Simplifying -4(5t + -3) + 5t = 6t + -5 Reorder the terms: -4(-3 + 5t) + 5t = 6t + -5 (-3 * -4 + 5t * -4) + 5t = 6t + -5 (12 + -20t) + 5t = 6t + -5 Combine like terms: -20t + 5t = -15t 12 + -15t = 6t + -5 Reorder the terms: 12 + -15t = -5 + 6t Solving 12 + -15t = -5 + 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. 12 + -15t + -6t = -5 + 6t + -6t Combine like terms: -15t + -6t = -21t 12 + -21t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -21t = -5 + 0 12 + -21t = -5 Add '-12' to each side of the equation. 12 + -12 + -21t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -21t = -5 + -12 -21t = -5 + -12 Combine like terms: -5 + -12 = -17 -21t = -17 Divide each side by '-21'. t = 0.8095238095 Simplifying t = 0.8095238095
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