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Simplifying 11 + -2(3t + -10) = 5(4 + -1t) Reorder the terms: 11 + -2(-10 + 3t) = 5(4 + -1t) 11 + (-10 * -2 + 3t * -2) = 5(4 + -1t) 11 + (20 + -6t) = 5(4 + -1t) Combine like terms: 11 + 20 = 31 31 + -6t = 5(4 + -1t) 31 + -6t = (4 * 5 + -1t * 5) 31 + -6t = (20 + -5t) Solving 31 + -6t = 20 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 31 + -6t + 5t = 20 + -5t + 5t Combine like terms: -6t + 5t = -1t 31 + -1t = 20 + -5t + 5t Combine like terms: -5t + 5t = 0 31 + -1t = 20 + 0 31 + -1t = 20 Add '-31' to each side of the equation. 31 + -31 + -1t = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -1t = 20 + -31 -1t = 20 + -31 Combine like terms: 20 + -31 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11
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