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Simplifying 4(5t + -20) = 13 + -11t Reorder the terms: 4(-20 + 5t) = 13 + -11t (-20 * 4 + 5t * 4) = 13 + -11t (-80 + 20t) = 13 + -11t Solving -80 + 20t = 13 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. -80 + 20t + 11t = 13 + -11t + 11t Combine like terms: 20t + 11t = 31t -80 + 31t = 13 + -11t + 11t Combine like terms: -11t + 11t = 0 -80 + 31t = 13 + 0 -80 + 31t = 13 Add '80' to each side of the equation. -80 + 80 + 31t = 13 + 80 Combine like terms: -80 + 80 = 0 0 + 31t = 13 + 80 31t = 13 + 80 Combine like terms: 13 + 80 = 93 31t = 93 Divide each side by '31'. t = 3 Simplifying t = 3
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