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Simplifying 3t + 11 = 5t + -19 Reorder the terms: 11 + 3t = 5t + -19 Reorder the terms: 11 + 3t = -19 + 5t Solving 11 + 3t = -19 + 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. 11 + 3t + -5t = -19 + 5t + -5t Combine like terms: 3t + -5t = -2t 11 + -2t = -19 + 5t + -5t Combine like terms: 5t + -5t = 0 11 + -2t = -19 + 0 11 + -2t = -19 Add '-11' to each side of the equation. 11 + -11 + -2t = -19 + -11 Combine like terms: 11 + -11 = 0 0 + -2t = -19 + -11 -2t = -19 + -11 Combine like terms: -19 + -11 = -30 -2t = -30 Divide each side by '-2'. t = 15 Simplifying t = 15
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