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Simplifying 3(t + 1) = 5t + -11 Reorder the terms: 3(1 + t) = 5t + -11 (1 * 3 + t * 3) = 5t + -11 (3 + 3t) = 5t + -11 Reorder the terms: 3 + 3t = -11 + 5t Solving 3 + 3t = -11 + 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. 3 + 3t + -5t = -11 + 5t + -5t Combine like terms: 3t + -5t = -2t 3 + -2t = -11 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -2t = -11 + 0 3 + -2t = -11 Add '-3' to each side of the equation. 3 + -3 + -2t = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -11 + -3 -2t = -11 + -3 Combine like terms: -11 + -3 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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