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Simplifying -1t + 19 + 11 = -1t + -3(t + -20) Reorder the terms: 19 + 11 + -1t = -1t + -3(t + -20) Combine like terms: 19 + 11 = 30 30 + -1t = -1t + -3(t + -20) Reorder the terms: 30 + -1t = -1t + -3(-20 + t) 30 + -1t = -1t + (-20 * -3 + t * -3) 30 + -1t = -1t + (60 + -3t) Reorder the terms: 30 + -1t = 60 + -1t + -3t Combine like terms: -1t + -3t = -4t 30 + -1t = 60 + -4t Solving 30 + -1t = 60 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 30 + -1t + 4t = 60 + -4t + 4t Combine like terms: -1t + 4t = 3t 30 + 3t = 60 + -4t + 4t Combine like terms: -4t + 4t = 0 30 + 3t = 60 + 0 30 + 3t = 60 Add '-30' to each side of the equation. 30 + -30 + 3t = 60 + -30 Combine like terms: 30 + -30 = 0 0 + 3t = 60 + -30 3t = 60 + -30 Combine like terms: 60 + -30 = 30 3t = 30 Divide each side by '3'. t = 10 Simplifying t = 10
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